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Добірка наукової літератури з теми "Moduli space, instanton, steiner"

Автор: Grafiati

Опубліковано: 10 березня 2023

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Статті в журналах з теми "Moduli space, instanton, steiner"

PARVIZI, SHAHROKH. "NONCOMMUTATIVE INSTANTONS AND THE INFORMATION METRIC." Modern Physics Letters A 17, no. 06 (February 28, 2002): 341–53. http://dx.doi.org/10.1142/s0217732302006436.

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By using the so-called Information Metric on the moduli space of an anti-self-dual (ASD) Instanton in a self-dual (SD) noncommutative background, we investigate the geometry of moduli space. The metric is evaluated perturbatively in noncommutativity parameter and we show that by putting a cutoff in the location of instanton in the definition of Information Metric we can recover the five-dimensional space–time in the presence of a B-field. This result shows that the noncommutative YM-Instanton Moduli corresponds to D-Instanton Moduli in the gravity side where the radial and transverse location of D-Instanton correspond to YM-Instanton size and location, respectively. The match is shown in the first order of noncommutativity parameter.

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Tian, Yu. "Conformal symmetry on the instanton moduli space." Journal of Physics A: Mathematical and General 38, no. 8 (February 10, 2005): 1823–27. http://dx.doi.org/10.1088/0305-4470/38/8/016.

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Ferreira, Ana Cristina. "Induced three-forms on instanton moduli spaces." International Journal of Geometric Methods in Modern Physics 11, no. 09 (October 2014): 1460041. http://dx.doi.org/10.1142/s021988781460041x.

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In this note we study a correspondence between the space of three-forms on a four-manifold and the space of three-forms on the moduli space of instantons. We then specialize to the case where the base manifold is the four-sphere.

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Jardim, M., and D. D. Silva. "Instanton sheaves and representations of quivers." Proceedings of the Edinburgh Mathematical Society 63, no. 4 (September 4, 2020): 984–1004. http://dx.doi.org/10.1017/s0013091520000292.

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AbstractWe study the moduli space of rank 2 instanton sheaves on ℙ3 in terms of representations of a quiver consisting of three vertices and four arrows between two pairs of vertices. Aiming at an alternative compactification for the moduli space of instanton sheaves, we show that for each rank 2 instanton sheaf, there is a stability parameter θ for which the corresponding quiver representation is θ-stable (in the sense of King), and that the space of stability parameters has a non-trivial wall-and-chamber decomposition. Looking more closely at instantons of low charge, we prove that there are stability parameters with respect to which every representation corresponding to a rank 2 instanton sheaf of charge 2 is stable and provide a complete description of the wall-and-chamber decomposition for representation corresponding to a rank 2 instanton sheaf of charge 1.

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BILLÓ, MARCO, PIETRO FRÈ, ALBERTO ZAFFARONI, and LUCIANO GIRARDELLO. "GRAVITATIONAL INSTANTONS IN HETEROTIC STRING THEORY: THE H-MAP AND THE MODULI DEFORMATIONS OF (4,4) SUPERCONFORMAL THEORIES." International Journal of Modern Physics A 08, no. 14 (June 10, 1993): 2351–418. http://dx.doi.org/10.1142/s0217751x9300093x.

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Анотація:

We study the problem of string propagation in a general instanton background for the case of the complete heterotic superstring. We define the concept of generalized hyper-Kähler manifolds and we relate it to (4,4) superconformal theories. We propose a generalized h-map construction that predicts a universal SU (6) symmetry for the modes of the string excitations moving in an instanton background. We also discuss the role of abstract N = 4 moduli and, applying it to the particular limit case of the solvable SU (2) × R instanton found by Callan et al., we show that it admits deformations and corresponds to a point in a 16-dimensional moduli space. The geometrical characterization of the other spaces in the same moduli space remains an open problem.

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KETOV, SERGEI V., OSVALDO P. SANTILLAN, and ANDREI G. ZORIN. "D-INSTANTON SUMS FOR MATTER HYPERMULTIPLETS." Modern Physics Letters A 19, no. 35 (November 20, 2004): 2645–53. http://dx.doi.org/10.1142/s0217732304015865.

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We calculate some nonperturbative (D-instanton) quantum corrections to the moduli space metric of several (n>1) identical matter hypermultiplets for the type-IIA superstrings compactified on a Calabi–Yau threefold, near conifold singularities. We find a nontrivial deformation of the (real) 4n-dimensional hypermultiplet moduli space metric due to the infinite number of D-instantons, under the assumption of n tri-holomorphic commuting isometries of the metric, in the hyper-Kähler limit (i.e. in the absence of gravitational corrections).

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Jardim, Marcos, and Misha Verbitsky. "Trihyperkähler reduction and instanton bundles on." Compositio Mathematica 150, no. 11 (August 27, 2014): 1836–68. http://dx.doi.org/10.1112/s0010437x14007477.

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AbstractA trisymplectic structure on a complex $2n$-manifold is a three-dimensional space ${\rm\Omega}$ of closed holomorphic forms such that any element of ${\rm\Omega}$ has constant rank $2n$, $n$ or zero, and degenerate forms in ${\rm\Omega}$ belong to a non-degenerate quadric hypersurface. We show that a trisymplectic manifold is equipped with a holomorphic 3-web and the Chern connection of this 3-web is holomorphic, torsion-free, and preserves the three symplectic forms. We construct a trisymplectic structure on the moduli of regular rational curves in the twistor space of a hyperkähler manifold, and define a trisymplectic reduction of a trisymplectic manifold, which is a complexified form of a hyperkähler reduction. We prove that the trisymplectic reduction in the space of regular rational curves on the twistor space of a hyperkähler manifold $M$ is compatible with the hyperkähler reduction on $M$. As an application of these geometric ideas, we consider the ADHM construction of instantons and show that the moduli space of rank $r$, charge $c$ framed instanton bundles on $\mathbb{C}\mathbb{P}^{3}$ is a smooth trisymplectic manifold of complex dimension $4rc$. In particular, it follows that the moduli space of rank two, charge $c$ instanton bundles on $\mathbb{C}\mathbb{P}^{3}$ is a smooth complex manifold dimension $8c-3$, thus settling part of a 30-year-old conjecture.

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Teleman, Andrei. "Analytic cycles in flip passages and in instanton moduli spaces over non-Kählerian surfaces." International Journal of Mathematics 27, no. 07 (June 2016): 1640009. http://dx.doi.org/10.1142/s0129167x16400097.

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Анотація:

Let [Formula: see text] ([Formula: see text]) be a moduli space of stable (polystable) bundles with fixed determinant on a complex surface with [Formula: see text] and let [Formula: see text] be a pure [Formula: see text]-dimensional analytic set. We prove a general formula for the homological boundary [Formula: see text] of the Borel–Moore fundamental class of [Formula: see text] in the boundary of the blown up moduli space [Formula: see text]. The proof is based on the holomorphic model theorem of [A. Teleman, Instanton moduli spaces on non-Kählerian surfaces, Holomorphic models around the reduction loci, J. Geom. Phys. 91 (2015) 66–87] which identifies a neighborhood of a boundary component of [Formula: see text] with a neighborhood of the boundary of a “blown up flip passage”. We then focus on a particular instanton moduli space which intervenes in our program for proving the existence of curves on class VII surfaces. Using our result, combined with general properties of the Donaldson cohomology classes, we prove incidence relations between the Zariski closures (in the considered moduli space) of certain families of extensions. These incidence relations are crucial for understanding the geometry of the moduli space, and cannot be obtained using classical complex geometric deformation theory.

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Bischoff, Jan, and Olaf Lechtenfeld. "Path-Integral Quantization of the (2,2) String." International Journal of Modern Physics A 12, no. 27 (October 30, 1997): 4933–71. http://dx.doi.org/10.1142/s0217751x97002632.

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Анотація:

A complete treatment of the (2,2) NSR string in flat (2 + 2)-dimensional space–time is given, from the formal path integral over N = 2 super Riemann surfaces to the computational recipe for amplitudes at any loop or gauge instanton number. We perform in detail the superconformal gauge fixing, discuss the spectral flow, and analyze the supermoduli space with emphasis on the gauge moduli. Background gauge field configurations in all instanton sectors are constructed. We develop chiral bosonization on punctured higher-genus surfaces in the presence of gauge moduli and instantons. The BRST cohomology is recapitulated, with a new space–time interpretation for picture-changing. We point out two ways of combining left- and right-movers, which lead to different three-point functions.

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Casnati, Gianfranco, and Ozhan Genc. "Instanton bundles on two Fano threefolds of index 1." Forum Mathematicum 32, no. 5 (September 1, 2020): 1315–36. http://dx.doi.org/10.1515/forum-2019-0189.

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AbstractWe deal with instanton bundles on the product {\mathbb{P}^{1}\times\mathbb{P}^{2}} and the blow up of {\mathbb{P}^{3}} along a line. We give an explicit construction leading to instanton bundles. Moreover, we also show that they correspond to smooth points of a unique irreducible component of their moduli space.

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Більше джерел

Дисертації з теми "Moduli space, instanton, steiner"

VANZO, DAVIDE. "Instanton bundles and their moduli spaces." Doctoral thesis, 2017. http://hdl.handle.net/2158/1079371.

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Анотація:

This work studies the moduli space of instanton bundles on P^{2n+1} focusing its attention on certain kind of families: Rao-Skiti and 't Hooft. It proves that these two components are linked in their moduli space.

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Частини книг з теми "Moduli space, instanton, steiner"

de la Ossa, Xenia, Magdalena Larfors, and Eirik E. Svanes. "Restrictions of Heterotic G2 Structures and Instanton Connections." In Geometry and Physics: Volume II, 503–18. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802020.003.0020.

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Анотація:

This chapter revisits recent results regarding the geometry and moduli of solutions of the heterotic string on manifolds Y with a G ₂ structure. In particular, such heterotic G ₂ systems can be rephrased in terms of a differential Ď acting on a complex Ωˇ∗(Y,Q), where Ωˇ=T∗Y⊕End(TY)⊕End(V), and Ď is an appropriate projection of an exterior covariant derivative D which satisfies an instanton condition. The infinitesimal moduli are further parametrized by the first cohomology HDˇ1(Y,Q). The chapter proceeds to restrict this system to manifolds X with an SU(3) structure corresponding to supersymmetric compactifications to four-dimensional Minkowski space, often referred to as Strominger–Hull solutions. In doing so, the chapter derives a new result: the Strominger–Hull system is equivalent to a particular holomorphic Yang–Mills covariant derivative on Q|X=T∗X⊕End(TX)⊕End(V).

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