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Journal articles on the topic 'Holomorphicity'

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Published: 14 March 2023
Last updated: 6 September 2023

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1

HAMLET, O. "TIGHT MAPS AND HOLOMORPHICITY." Transformation Groups 19, no. 4 (November 12, 2014): 999–1026. http://dx.doi.org/10.1007/s00031-014-9283-8.

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2

Ikhlef, Y., R. Weston, M. Wheeler, and P. Zinn-Justin. "Discrete holomorphicity and quantized affine algebras." Journal of Physics A: Mathematical and Theoretical 46, no. 26 (June 12, 2013): 265205. http://dx.doi.org/10.1088/1751-8113/46/26/265205.

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3

Andersson, Mats. "A residue criterion for strong holomorphicity." Arkiv för Matematik 48, no. 1 (April 2010): 1–15. http://dx.doi.org/10.1007/s11512-009-0100-x.

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4

Cardy, John. "Discrete Holomorphicity at Two-Dimensional Critical Points." Journal of Statistical Physics 137, no. 5-6 (November 13, 2009): 814–24. http://dx.doi.org/10.1007/s10955-009-9870-6.

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5

Ikhlef, Yacine, and Robert Weston. "Discrete holomorphicity in the chiral Potts model." Journal of Physics A: Mathematical and Theoretical 48, no. 29 (June 30, 2015): 294001. http://dx.doi.org/10.1088/1751-8113/48/29/294001.

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6

Bondar', A. V., and V. Yu Romanenko. "Certain conditions for holomorphicity in Hilbert spaces." Ukrainian Mathematical Journal 43, no. 1 (January 1991): 27–31. http://dx.doi.org/10.1007/bf01066899.

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7

Siebert, Bernd, and Gang Tian. "On the holomorphicity of genus two Lefschetz fibrations." Annals of Mathematics 161, no. 2 (March 1, 2005): 959–1020. http://dx.doi.org/10.4007/annals.2005.161.959.

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8

Gauthier, P. M., and E. S. Zeron. "Hartogs’ Theorem on Separate Holomorphicity for Projective Spaces." Canadian Mathematical Bulletin 52, no. 1 (March 1, 2009): 84–86. http://dx.doi.org/10.4153/cmb-2009-010-8.

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9

Brînzănescu, Vasile, and Radu Slobodeanu. "Holomorphicity and the Walczak formula on Sasakian manifolds." Journal of Geometry and Physics 57, no. 1 (December 2006): 193–207. http://dx.doi.org/10.1016/j.geomphys.2006.02.011.

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10

Azad, Hassan, Indranil Biswas, C. S. Rajan, and Shehryar Sikander. "Hermitian symmetric space, flat bundle and holomorphicity criterion." Bulletin des Sciences Mathématiques 140, no. 4 (May 2016): 1–10. http://dx.doi.org/10.1016/j.bulsci.2016.03.001.

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11

Micallef, M., and J. Wolfson. "Area minimizers in a K3 surface and holomorphicity." GAFA Geometric And Functional Analysis 16, no. 2 (April 2006): 437–52. http://dx.doi.org/10.1007/s00039-006-0555-x.

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12

Dajczer, Marcos, and Gudlaugur Thorbergsson. "Holomorphicity of minimal submanifolds in complex space forms." Mathematische Annalen 277, no. 3 (September 1987): 353–60. http://dx.doi.org/10.1007/bf01458320.

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13

Conley, Charles H., and Martin Westerholt-Raum. "Harmonic Maaß–Jacobi forms of degree 1 with higher rank indices." International Journal of Number Theory 12, no. 07 (September 6, 2016): 1871–97. http://dx.doi.org/10.1142/s1793042116501165.

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We define and investigate real analytic weak Jacobi forms of degree 1 and arbitrary rank. En route we calculate the Casimir operator associated to the maximal central extension of the real Jacobi group, which for rank exceeding 1 is of order 4. In ranks exceeding 1, the notions of H-harmonicity and semi-holomorphicity are the same.
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14

Alam, I. T., and M. T. Batchelor. "Integrability as a consequence of discrete holomorphicity: the ZNmodel." Journal of Physics A: Mathematical and Theoretical 45, no. 49 (November 27, 2012): 494014. http://dx.doi.org/10.1088/1751-8113/45/49/494014.

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15

Alam, I. T., and M. T. Batchelor. "Integrability as a consequence of discrete holomorphicity: loop models." Journal of Physics A: Mathematical and Theoretical 47, no. 21 (May 7, 2014): 215201. http://dx.doi.org/10.1088/1751-8113/47/21/215201.

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16

Udagawa, Seiichi. "Holomorphicity of Certain Stable Harmonic Maps and Minimal Immersions." Proceedings of the London Mathematical Society s3-57, no. 3 (November 1988): 577–98. http://dx.doi.org/10.1112/plms/s3-57.3.577.

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17

Yang, GuiLin, YingBo Han, and YuXin Dong. "Partial energies monotonicity and holomorphicity of Hermitian pluriharmonic maps." Science China Mathematics 56, no. 5 (March 22, 2013): 1019–32. http://dx.doi.org/10.1007/s11425-013-4581-5.

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18

Pickering, Austin, and Peter West. "The one-loop effective super-potential and non-holomorphicity." Physics Letters B 383, no. 1 (August 1996): 54–62. http://dx.doi.org/10.1016/0370-2693(96)00702-2.

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19

Bilokopytov, Eugene. "Continuity and Holomorphicity of Symbols of Weighted Composition Operators." Complex Analysis and Operator Theory 13, no. 3 (January 11, 2019): 1441–64. http://dx.doi.org/10.1007/s11785-018-00889-5.

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20

Bondar', A. V., and V. Yu Romanenko. "Conditions for holomorphicity of Lipshitzian mappings of Hilbert spaces." Ukrainian Mathematical Journal 42, no. 12 (December 1990): 1425–30. http://dx.doi.org/10.1007/bf01060811.

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21

Brzeziński, T., H. Da̢browski, and J. Rembieliński. "On the quantum differential calculus and the quantum holomorphicity." Journal of Mathematical Physics 33, no. 1 (January 1992): 19–24. http://dx.doi.org/10.1063/1.529944.

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22

Dong, Yuxin. "Monotonicity formulae and holomorphicity of harmonic maps between Kähler manifolds." Proceedings of the London Mathematical Society 107, no. 6 (May 12, 2013): 1221–60. http://dx.doi.org/10.1112/plms/pdt014.

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23

Ivachkovich, S., and F. Meylan. "An example concerning holomorphicity of meromorphic mappings along real hypersurfaces." Michigan Mathematical Journal 64, no. 3 (September 2015): 487–91. http://dx.doi.org/10.1307/mmj/1441116654.

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24

de Gier, Jan, Alexander Lee, and Jørgen Rasmussen. "Discrete holomorphicity and integrability in loop models with open boundaries." Journal of Statistical Mechanics: Theory and Experiment 2013, no. 02 (February 18, 2013): P02029. http://dx.doi.org/10.1088/1742-5468/2013/02/p02029.

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25

Cieśliński, Jan L., and Dzianis Zhalukevich. "Explicit Formulas for All Scator Holomorphic Functions in the (1+2)-Dimensional Case." Symmetry 12, no. 9 (September 20, 2020): 1550. http://dx.doi.org/10.3390/sym12091550.

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Scators form a vector space endowed with a non-distributive product, in the hyperbolic case, have physical applications related to some deformations of special relativity (breaking the Lorentz symmetry) while the elliptic case leads to new examples of hypercomplex numbers and related notions of holomorphicity. Until now, only a few particular cases of scator holomorphic functions have been found. In this paper we obtain all solutions of the generalized Cauchy–Riemann system which describes analogues of holomorphic functions in the (1+2)-dimensional scator space.
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26

Agarwal, Abhishek. "Holomorphicity, vortex attachment, gauge invariance and the fractional quantum Hall effect." Journal of Physics A: Mathematical and Theoretical 55, no. 2 (December 16, 2021): 025402. http://dx.doi.org/10.1088/1751-8121/ac3d67.

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Abstract A gauge invariant reformulation of nonrelativistic fermions in background magnetic fields is used to obtain the Laughlin and Jain wave functions as exact results in mean field theory (MFT). The gauge invariant framework trades the U(1) gauge symmetry for an emergent holomorphic symmetry and fluxes for vortices. The novel holomorphic invariance is used to develop an analytical method for attaching vortices to particles. Vortex attachment methods introduced in this paper are subsequently employed to construct the Read operator within a second quantized framework and obtain the Laughlin and Jain wave functions as exact results entirely within a mean-field approximation. The gauge invariant framework and vortex attachment techniques are generalized to the case of spherical geometry and spherical counterparts of Laughlin and Jain wave functions are also obtained exactly within MFT.
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27

Glazebrook, James F. "An Inequality for Harmonic Maps of Compact Kahler Manifolds that Implies Holomorphicity." Proceedings of the American Mathematical Society 107, no. 1 (September 1989): 261. http://dx.doi.org/10.2307/2048062.

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28

Glazebrook, James F. "An inequality for harmonic maps of compact Kähler manifolds that implies holomorphicity." Proceedings of the American Mathematical Society 107, no. 1 (January 1, 1989): 261. http://dx.doi.org/10.1090/s0002-9939-1989-0975643-2.

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29

Cimasoni, David. "Kac–Ward operators, Kasteleyn operators, and s-holomorphicity on arbitrary surface graphs." Annales de l’Institut Henri Poincaré D 2, no. 2 (2015): 113–68. http://dx.doi.org/10.4171/aihpd/16.

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30

Kim, Henry H., Masao Tsuzuki, and Satoshi Wakatsuki. "The Shintani double zeta functions." Forum Mathematicum 34, no. 2 (March 1, 2022): 469–505. http://dx.doi.org/10.1515/forum-2020-0251.

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Abstract In this paper, we give an explicit formula for the Shintani double zeta functions with any ramification in the most general setting of adeles over an arbitrary number field. Three applications of the explicit formula are given. First, we obtain a functional equation satisfied by the Shintani double zeta functions in addition to Shintani’s functional equations. Second, we establish the holomorphicity of a certain Dirichlet series generalizing a result by Ibukiyama and Saito. This Dirichlet series occurs in the study of unipotent contributions of the geometric side of the Arthur–Selberg trace formula of the symplectic group. Third, we prove an asymptotic formula of the weighted average of the central values of quadratic Dirichlet L-functions.
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31

Restuccia, A., and J. G. Taylor. "Inexact modes, holomorphicity and modular invariance in light-cone gauge strings and superstrings." Physics Letters B 192, no. 1-2 (June 1987): 89–94. http://dx.doi.org/10.1016/0370-2693(87)91147-6.

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32

Li, H. S., and K. T. Mahanthappa. "Holomorphicity of the gauge coupling constant in supersymmetric theories and the mass matrix." Physics Letters B 319, no. 1-3 (December 1993): 152–56. http://dx.doi.org/10.1016/0370-2693(93)90795-j.

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33

Ono, Kaoru. "On the Holomorphicity of Harmonic Maps from Compact Kahler Manifolds to Hyperbolic Riemann Surfaces." Proceedings of the American Mathematical Society 102, no. 4 (April 1988): 1071. http://dx.doi.org/10.2307/2047359.

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34

Ono, Kaoru. "On the holomorphicity of harmonic maps from compact Kähler manifolds to hyperbolic Riemann surfaces." Proceedings of the American Mathematical Society 102, no. 4 (April 1, 1988): 1071. http://dx.doi.org/10.1090/s0002-9939-1988-0934892-9.

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35

Li, Song-Ying, and Lei Ni. "On the holomorphicity of proper harmonic maps between unit balls with the Bergman metrics." Mathematische Annalen 316, no. 2 (February 1, 2000): 333–54. http://dx.doi.org/10.1007/s002080050015.

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36

Inoguchi, Jun-Ichi, Marianty Ionel, and Sungwook Lee. "Flat Lorentz surfaces in anti-de Sitter 3-space and Gravitational Instantons." International Journal of Geometric Methods in Modern Physics 13, no. 02 (January 26, 2016): 1650012. http://dx.doi.org/10.1142/s0219887816500122.

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In this paper, we study flat Lorentz surfaces in anti-de Sitter 3-space [Formula: see text] in terms of the second conformal structure. Those flat Lorentz surfaces can be represented in terms of a Lorentz holomorphic and a Lorentz anti-holomorphic data similarly to Weierstraß representation formula. An analogue of hyperbolic Gauß map is considered for timelike surfaces in [Formula: see text] and the relationship between the conformality (or the holomorphicity) of hyperbolic Gauß map and the flatness of a Lorentz surface is discussed. It is shown that flat Lorentz surfaces in [Formula: see text] are associated with a hyperbolic Monge–Ampère equation. It is also known that Monge–Ampére equation may be regarded as a 2-dimensional reduction of the Einstein’s field equation. Using this connection, we construct a class of anti-self-dual gravitational instantons from flat Lorentz surfaces in [Formula: see text].
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37

Atamuratov, A. A., and K. K. Rasulov. "On Shimoda's Theorem." Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki 33, no. 1 (March 2023): 17–31. http://dx.doi.org/10.35634/vm230102.

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The present work is devoted to Shimoda's Theorem on the holomorphicity of a function $f(z,w)$ which is holomorphic by $w\in V$ for each fixed $z\in U$ and is holomorphic by $z\in U$ for each fixed $w\in E$, where $E\subset V$ is a countable set with at least one limit point in $V$. Shimoda proves that in this case $f(z,w)$ is holomorphic in $U\times V$ except for a nowhere dense closed subset of $U\times V$. We prove the converse of this result, that is for an arbitrary given nowhere dense closed subset of $U$, $S\subset U$, there exists a holomorphic function, satisfying Shimoda's Theorem on $U\times V\subset {\mathbb C}^{2}$, that is not holomorphic on $S\times V$. Moreover, we observe conditions which imply empty exception sets on Shimoda's Theorem and prove generalizations of Shimoda's Theorem.
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38

Li, H. S., and K. T. Mahanthappa. "Dependence of holomorphicity of the gauge coupling constant on the mass matrix in supersymmetric theories." Physical Review D 49, no. 10 (May 15, 1994): 5532–50. http://dx.doi.org/10.1103/physrevd.49.5532.

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39

Chen, Yisun. "Elegant Theory of Complex Analysis." Theoretical and Natural Science 1, no. 1 (May 13, 2022): 30–37. http://dx.doi.org/10.54254/tns.2022005.

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A complex number is an element in a number system containing both real numbers and the imaginary unit , satisfying ^2 = 1. Since their discovery, complex numbers have been a powerful means of mathematical calculation. Complex analysis is a part of mathematical analysis that investigates complex numbers and their analyticity, holomorphicity, etc. Many renowned mathematical giants once had their own research in complex analysis, such as Cauchy, Gauss, Euler, etc. On the grounds that it deals with functions of complex numbers, complex analysis is a helpful area in the whole mathematics field. There are plenty of applications of complex analysis in both the mathematical field and the physics field. In this paper, the history of complex numbers and complex analysis is presented. Also, some contents of complex variables are shown, including the basic properties of complex numbers, the derivative and integral of functions of complex numbers, and several critical theorems in the area of complex analysis.
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40

Chen, Yisun. "Elegant Theory of Complex Analysis." Theoretical and Natural Science 2, no. 1 (February 20, 2023): 224–31. http://dx.doi.org/10.54254/2753-8818/2/20220086.

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A complex number is an element in a number system containing both real numbers and the imaginary unit , satisfying ^2 = 1. Since their discovery, complex numbers have been a powerful means of mathematical calculation. Complex analysis is a part of mathematical analysis that investigates complex numbers and their analyticity, holomorphicity, etc. Many renowned mathematical giants once had their own research in complex analysis, such as Cauchy, Gauss, Euler, etc. On the grounds that it deals with functions of complex numbers, complex analysis is a helpful area in the whole mathematics field. There are plenty of applications of complex analysis in both the mathematical field and the physics field. In this paper, the history of complex numbers and complex analysis is presented. Also, some contents of complex variables are shown, including the basic properties of complex numbers, the derivative and integral of functions of complex numbers, and several critical theorems in the area of complex analysis.
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41

MATONE, MARCO. "UNIFORMIZATION THEORY AND 2D GRAVITY I: LIOUVILLE ACTION AND INTERSECTION NUMBERS." International Journal of Modern Physics A 10, no. 03 (January 30, 1995): 289–335. http://dx.doi.org/10.1142/s0217751x95000139.

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This is the first part of an investigation concerning the formulation of 2D gravity in the framework of the uniformization theory of Riemann surfaces. As a first step in this direction we show that the classical Liouville action appears in the expression for the correlators of topological gravity. Next we derive an inequality involving the cutoff of 2D gravity and the background geometry. Another result, still related to uniformization theory, concerns a relation between the higher genus normal ordering and the Liouville action. We introduce operators covariantized by means of the inverse map of uniformization. These operators have interesting properties, including holomorphicity. In particular, they are crucial for showing that the chirally split anomaly of CFT is equivalent to the Krichever-Novikov cocycle and vanishes for deformation of the complex structure induced by the harmonic Beltrami differentials. By means of the inverse map we propose a realization of the Virasoro algebra on arbitrary Riemann surfaces and find the eigenfunctions for the holomorphic covariant operators defining higher order cocycles and anomalies which are related to W algebras. Finally we face the problem of considering the positivity of eσ, with σ the Liouville field, by proposing an explicit construction for the Fourier modes on compact Riemann surfaces. These functions, whose underlying number-theoretic structure seems related to Fuchsian groups and to the eigenvalues of the Laplacian, are quite basic and may provide the building blocks for properly investigating the long-standing uniformization problem posed by Klein, Koebe and Poincaré.
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42

Kirjackis, Eduardas. "On estimations of the Taylor coefficients of functions from the class Kn(E)." Lietuvos matematikos rinkinys 47 (October 26, 2007): 113–18. http://dx.doi.org/10.15388/lmr.2007.25247.

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In the article the estimations of the Taylor coefficients of functions from class Kn(E), formed by holomorphicin unit circle E = {|z| <1} functions F(z), F(0) = F(1)(0)= . . .= F(n−1)(0)= 0, F(n)(0) =n!,which have nonvanishing n-th are given.
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43

Cui, Wei, and Mohsen Karkheiran. "Heterotic complex structure moduli stabilization for elliptically fibered Calabi-Yau manifolds." Journal of High Energy Physics 2021, no. 3 (March 2021). http://dx.doi.org/10.1007/jhep03(2021)281.

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Abstract Holomorphicity of vector bundles can stabilize complex structure moduli of a Calabi-Yau threefold in N = 1 supersymmetric heterotic compactifications. In principle, the Atiyah class determines the stabilized moduli. In this paper, we study how this mechanism works in the context of elliptically fibered Calabi-Yau manifolds where the complex structure moduli space contains two kinds of moduli, those from the base and those from the fibration. Defining the bundle with spectral data, we find three types of situations when bundles’ holomorphicity depends on algebraic cycles exist only for special loci in the complex structure moduli, which allows us to stabilize both of these two moduli. We present concrete examples for each type and develop practical tools to analyze the stabilized moduli. Finally, by checking the holomorphicity of the four-flux and/or local Higgs bundle data in F-theory, we briefly study the dual complex structure moduli stabilization scenarios.
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44

de Carvalho, Alcides, Sergio J. Chion Aguirre, and Marcos Dajczer. "Holomorphicity of real Kaehler submanifolds." ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, December 27, 2021, 17. http://dx.doi.org/10.2422/2036-2145.202105_013.

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45

Mongodi, Samuele. "Holomorphicity of Slice-Regular Functions." Complex Analysis and Operator Theory 14, no. 3 (March 19, 2020). http://dx.doi.org/10.1007/s11785-020-00996-2.

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46

Huang, Min-xin, and Albrecht Klemm. "Holomorphicity and modularity in Seiberg-Witten theories with matter." Journal of High Energy Physics 2010, no. 7 (July 2010). http://dx.doi.org/10.1007/jhep07(2010)083.

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47

Berkovits, Nathan, Osvaldo Chandia, João Gomide, and Lucas N. S. Martins. "B-RNS-GSS heterotic string in curved backgrounds." Journal of High Energy Physics 2023, no. 2 (February 9, 2023). http://dx.doi.org/10.1007/jhep02(2023)102.

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Abstract The recently established B-RNS-GSS formalism is extended for the description of the heterotic superstring in curved backgrounds. We propose a generalized action and BRST charge defined in the small Hilbert space with the standard form of an 𝒩 = (1, 0) worldsheet superconformal theory with superconformal generator G and stress tensor T. We show that {G, G} = −2T implies the D=10 N=1 supergravity and super-Yang-Mills equations of motion, as well as holomorphicity of the BRST charge.
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48

Barbacovi, Federico, and Jongmyeong Kim. "On Gromov–Yomdin type theorems and a categorical interpretation of holomorphicity." Selecta Mathematica 29, no. 4 (August 21, 2023). http://dx.doi.org/10.1007/s00029-023-00870-x.

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49

Gaál, Marcell, and Miklós Pálfia. "A Note on Real Operator Monotone Functions." International Mathematics Research Notices, June 27, 2020. http://dx.doi.org/10.1093/imrn/rnaa150.

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Abstract In this paper, we initiate the study of real operator monotonicity for functions of tuples of operators, which are multivariate structured maps with a functional calculus called free functions that preserve the order between real parts (or Hermitian parts) of bounded linear Hilbert space operators. We completely characterize such functions on open convex free domains in terms of ordinary operator monotone free functions on self-adjoint domains. Further assuming the more stringent free holomorphicity, we prove that all such functions are affine linear with completely positive nonconstant part. This problem has been proposed by David Blecher at the biannual OTOA conference held in Bangalore in December 2016.
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50

Schlosser, Peter. "Time evolution of superoscillations for the Schrödinger equation on $${\mathbb {R}}\setminus \{0\}$$." Quantum Studies: Mathematics and Foundations, June 14, 2022. http://dx.doi.org/10.1007/s40509-022-00272-2.

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AbstractIn quantum mechanics, superoscillations, or the more general supershifts, appear as initial conditions of the time-dependent Schrödinger equation. Already in [5], a unified approach was developed, which yields time persistence of the supershift property under certain holomorphicity and growth assumptions on the corresponding Green’s function. While that theory considers the Schrödinger equation on the whole real line $${\mathbb {R}}$$ R , this paper takes the natural next step and considers $$\mathbb {R}\setminus \{0\}$$ R \ { 0 } , while allowing boundary conditions at $$x=0^\pm $$ x = 0 ± . In particular, the singular $$\frac{1}{x^2}$$ 1 x 2 -potential as well as the very important $$\delta $$ δ and $$\delta '$$ δ ′ distributional potentials are covered.
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