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Автор: Grafiati

Опубліковано: 14 березня 2023

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1

MIYAKE, AKIKO. "SUPERSYMMETRIC MATRIX MODEL ON Z-ORBIFOLD." International Journal of Modern Physics A 19, no. 12 (May 10, 2004): 1893–911. http://dx.doi.org/10.1142/s0217751x04018336.

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Анотація:

We find that the IIA matrix models defined on the non-compact C3/Z6, C2/Z2 and C2/Z4 orbifolds preserve supersymmetry where the fermions are on-mass-shell Majorana–Weyl fermions. In these examples supersymmetry is preserved both in the orbifolded space and in the non-orbifolded space at the same time. The matrix model on C3/Z6 orbifold has the same [Formula: see text] supersymmetry as the case of C3/Z3 orbifold which was pointed out previously. On the other hand the matrix models on C2/Z2 and C2/Z4 orbifold have a half of the [Formula: see text] supersymmetry. We further find that the matrix model on C2/Z2 orbifold with a parity-like identification preserves [Formula: see text] supersymmetry.

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2

MIYATA, HIDEO, and NORIYASU OHTSUBO. "WEYL ORBIFOLD MODELS." Modern Physics Letters A 11, no. 28 (September 14, 1996): 2285–96. http://dx.doi.org/10.1142/s0217732396002277.

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Superstring models on Weyl orbifolds are investigated in [Formula: see text] heterotic string theories. Some of the Weyl orbifold models are shown to be consistent with worldsheet supersymmetry, N=1 spacetime supersymmetry and modular invariance. Two ways of embedding in [Formula: see text] are studied and residual gauge groups are classified.

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3

WENDLAND, KATRIN. "SUPERCONFORMAL ORBIFOLDS INVOLVING THE FERMION NUMBER OPERATOR." International Journal of Modern Physics A 19, no. 22 (September 10, 2004): 3637–67. http://dx.doi.org/10.1142/s0217751x04019779.

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We consider orbifolds of two-dimensional unitary toroidal superconformal field theories with target spaces of arbitrary dimensions, where the orbifold group involves the space–time fermion number operator. We construct all so-called superaffine, orbifold prime and super-M-orbifold models by generalizing the constructions of Dixon, Ginsparg and Harvey. We also correct claims made by Dixon, Ginsparg and Harvey about multicritical points among those models with central charge [Formula: see text].

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4

GROOT NIBBELINK, STEFAN. "SHAPE OF GAUGE FIELD TADPOLES IN HETEROTIC STRING THEORY." Modern Physics Letters A 20, no. 03 (January 30, 2005): 155–68. http://dx.doi.org/10.1142/s0217732305016282.

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Анотація:

Orbifolds in field theory are potentially singular objects for at their fixed points the curvature becomes infinite, therefore one may wonder whether field theory calculations near orbifold singularities can be trusted. String theory is perfectly well defined on orbifolds and can therefore be taken as a UV completion of field theory on orbifolds. We investigate the properties of field and string theory near orbifold singularities by reviewing the computation of a one-loop gauge field tadpole. We find that in string theory the twisted states give contributions that have a spread of a couple of string lengths around the singularity, but otherwise the field theory picture is confirmed. One additional surprise is that in some orbifold models one can identify local tachyons that give contributions near the orbifold fixed point.

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5

ERLER, JENS, and MICHAŁ SPALIŃSKI. "MODULAR GROUPS FOR TWISTED NARAIN MODELS." International Journal of Modern Physics A 09, no. 25 (October 10, 1994): 4407–29. http://dx.doi.org/10.1142/s0217751x94001758.

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We demonstrate how to find modular discrete symmetry groups for ZN orbifolds. The Z7 orbifold is treated in detail as a nontrivial example of a (2, 2) orbifold model. We give the generators of the modular group for this case which, surprisingly, does not contain SL (2; Z)3 as had been speculated. The treatment models with discrete Wilson lines are also discussed. We consider examples which demonstrate that discrete Wilson lines affect the modular group in a nontrivial manner. In particular, we show that it is possible for a Wilson line to break SL (2, Z).

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6

THOMAS, STEVEN. "C=I MODELS IN THE THIRRING STRING FORMULATION." International Journal of Modern Physics A 04, no. 10 (June 1989): 2561–89. http://dx.doi.org/10.1142/s0217751x89000996.

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By introducing the spin field into the Thirring string formulation we complete its conformal algebra and hence construct the generators of the Affine algebra SÛ2L×SÛ2R within the formulation. We present two methods of constructing C=1 orbifolds. In the first, Thirring strings are defined on the double cover of the punctured complex plane; in the second we introduce an analogue of the orbifold space group and use it, along with the known factorization properties of the four-twist correlation function, to deduce the operator product algebra of twist fields. Finally as an application of the formulation we demonstrate the well-known equivalence of free strings compactified on the circle and orbifold at the multicritical point.

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7

Abe, Hiroyuki, Tatsuo Kobayashi, and Hiroshi Ohki. "Magnetized orbifold models." Journal of High Energy Physics 2008, no. 09 (September 8, 2008): 043. http://dx.doi.org/10.1088/1126-6708/2008/09/043.

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8

Katsuki, Yasuhiko, Yoshiharu Kawamura, Tatsuo Kobayashi, and Noriyasu Ohtsubo. "Z7 orbifold models." Physics Letters B 212, no. 3 (September 1988): 339–42. http://dx.doi.org/10.1016/0370-2693(88)91326-3.

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9

Katsuki, Yasuhiko, Yoshiharu Kawamura, Tatsuo Kobayashi, Noriyasu Ohtsubo, Yasuji Ono, and Kazutaka Tanioka. "ZN orbifold models." Nuclear Physics B 341, no. 3 (September 1990): 611–40. http://dx.doi.org/10.1016/0550-3213(90)90542-l.

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10

Kobayashi, Tatsuo, and C. S. Lim. "CP in orbifold models." Physics Letters B 343, no. 1-4 (January 1995): 122–27. http://dx.doi.org/10.1016/0370-2693(94)01447-k.

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11

Atiyah, Michael, and Matilde Marcolli. "Anyon Networks from Geometric Models of Matter." Quarterly Journal of Mathematics 72, no. 1-2 (February 8, 2021): 717–33. http://dx.doi.org/10.1093/qmath/haab004.

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Анотація:

Abstract This paper, completed in its present form by the second author after the first author passed away in 2019, describes an intended continuation of the previous joint work on anyons in geometric models of matter. This part outlines a construction of anyon tensor networks based on four-dimensional orbifold geometries and braid representations associated with surface-braids defined by multisections of the orbifold normal bundle of the surface of orbifold points.

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12

Hughes, James R. "Generalizing the Orbifold Model for Voice Leading." Mathematics 10, no. 6 (March 15, 2022): 939. http://dx.doi.org/10.3390/math10060939.

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Анотація:

We generalize orbifold models for chords and voice leading to incorporate loudness, allowing for the modeling of resting voices, which are used frequently by composers and arrangers across genres. In our generalized setting (strictly speaking, that of orbispaces rather than an orbifolds), passages with resting voices, passages with two or more voices in unison, and fully harmonized passages occupy distinct subspaces that interact in mathematically precise and musically interesting ways. In particular, our setting includes previous orbifold models by way of constant-loudness subspaces, and provides a way to model voice leading between chords of different cardinalities. We model voice leading in this general setting by morphisms in the orbispace path groupoid, a category for which we give a formal definition. We demonstrate how to visualize such morphisms as singular braids, and explore how our approach relates to (and is consistent with) selected previous work.

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13

Kim, H. B., and C. Muñoz. "Orbifolds with Continuous Wilson Lines and Soft Terms." Modern Physics Letters A 12, no. 05 (February 20, 1997): 315–20. http://dx.doi.org/10.1142/s0217732397000315.

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Orbifold compactifications with continuous Wilson lines have very interesting characteristics and as a consequence they are candidates for obtaining realistic models. We perform an analysis of the soft supersymmetry-breaking terms arising in this type of compactifications. We also compare these results with those of orbifolds without including continuous Wilson lines. Their phenomenological properties turn out to be similar.

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14

FUCHS, JÜRGEN, and MAXIMILIAN KREUZER. "ON THE LANDAU–GINZBURG DESCRIPTION OF $(A_1^{(1)})^{\oplus N}$ INVARIANTS." International Journal of Modern Physics A 09, no. 08 (March 30, 1994): 1287–304. http://dx.doi.org/10.1142/s0217751x94000583.

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We search for a Landau–Ginzburg interpretation of nondiagonal modular invariants of tensor products of minimal n = 2 superconformal models, looking in particular at automorphism invariants and at some exceptional cases. For the former we find a simple description as Landau–Ginzburg orbifolds, which reproduces the correct chiral rings as well as the spectra of various Gepner type models and orbifolds thereof. On the other hand, we are able to prove for one of the exceptional cases that this conformal field theory cannot be described by an orbifold of a Landau–Ginzburg model with respect to a manifest linear symmetry of its potential.

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15

Fendley, P. "New exactly solvable orbifold models." Journal of Physics A: Mathematical and General 22, no. 21 (November 7, 1989): 4633–42. http://dx.doi.org/10.1088/0305-4470/22/21/024.

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16

Kawamura, Yoshiharu. "Flat directions in orbifold models." Nuclear Physics B 481, no. 3 (December 1996): 539–76. http://dx.doi.org/10.1016/s0550-3213(96)00533-0.

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17

Abe, Hiroyuki, Kang-Sin Choi, Tatsuo Kobayashi, and Hiroshi Ohki. "Three generation magnetized orbifold models." Nuclear Physics B 814, no. 1-2 (June 2009): 265–92. http://dx.doi.org/10.1016/j.nuclphysb.2009.02.002.

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18

Kirillov, Jr., Alexander. "Modular Categories and Orbifold Models." Communications in Mathematical Physics 229, no. 2 (August 1, 2002): 309–35. http://dx.doi.org/10.1007/s002200200650.

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19

Bantay, P. "Symmetry breaking in orbifold models." Physics Letters B 220, no. 4 (April 1989): 531–32. http://dx.doi.org/10.1016/0370-2693(89)90781-8.

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20

Katsuki, Yasuhiko, Yoshiharu Kawamura, Tatsuo Kobayashi, Noriyasu Ohtsubo, Yasuji Ono, and Kazutaka Tanioka. "Z8 and Z12 orbifold models." Physics Letters B 227, no. 3-4 (August 1989): 381–86. http://dx.doi.org/10.1016/0370-2693(89)90947-7.

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21

Katsuki, Yasuhiko, Yoshiharu Kawamura, Tatsuo Kobayashi, Yasuji Ono, Kazutaka Tanioka, and Noriyasu Ohtsubo. "Z4 and Z6 orbifold models." Physics Letters B 218, no. 2 (February 1989): 169–75. http://dx.doi.org/10.1016/0370-2693(89)91413-5.

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22

Rostand, Bruno. "On multicritical lattice/orbifold models." Physics Letters B 248, no. 1-2 (September 1990): 89–94. http://dx.doi.org/10.1016/0370-2693(90)90020-7.

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23

BANTAY, P. "ALGEBRAIC ASPECTS OF ORBIFOLD MODELS." International Journal of Modern Physics A 09, no. 09 (April 10, 1994): 1443–56. http://dx.doi.org/10.1142/s0217751x94000649.

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Algebraic properties of orbifold models on arbitrary Riemann surfaces are investigated. The action of mapping class group transformations and of standard geometric operations is given explicitly. An infinite-dimensional extension of the quantum group is presented.

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24

Senda, Ikuo, and Akio Sugamoto. "Orbifold models and modular transformation." Nuclear Physics B 302, no. 2 (May 1988): 291–329. http://dx.doi.org/10.1016/0550-3213(88)90245-3.

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25

Bailin, D., A. Love, W. A. Sabra, and S. Thomas. "Duality symmetries in orbifold models." Physics Letters B 320, no. 1-2 (January 1994): 21–28. http://dx.doi.org/10.1016/0370-2693(94)90818-4.

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26

Bailin, David, and Alex Love. "String unification in orbifold models." Physics Letters B 278, no. 1-2 (March 1992): 125–30. http://dx.doi.org/10.1016/0370-2693(92)90722-g.

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27

HONECKER, GABRIELE. "CHIRAL N=1 4D ORIENTIFOLDS WITH D-BRANES AT ANGLES." Modern Physics Letters A 19, no. 25 (August 20, 2004): 1863–79. http://dx.doi.org/10.1142/s0217732304015087.

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Анотація:

D6-branes intersecting at angles allow for phenomenologically appealing constructions of four-dimensional string theory vacua. While it is straightforward to obtain non-supersymmetric realizations of the standard model, supersymmetric and stable models with three generations and no exotic chiral matter require more involved orbifold constructions. The T6/(ℤ4×ℤ2×Ωℛ) case is discussed in detail. Other orbifolds including fractional D6-branes are treated briefly.

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28

CECOTTI, SERGIO, and CUMRUN VAFA. "MASSIVE ORBIFOLDS." Modern Physics Letters A 07, no. 19 (June 21, 1992): 1715–23. http://dx.doi.org/10.1142/s0217732392001415.

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Анотація:

We study some aspects of 2D supersymmetric sigma models on orbifolds. It turns out that independently of whether the 2D QFT is conformal the operator products of twist operators are non-singular, suggesting that massive (non-conformal) orbifolds also “resolve singularities” just as in the conformal case. Moreover we recover the OPE of twist operators for conformal theories by considering the uv limit of the massive orbifold correlation functions. Alternatively, we can use the OPE of twist fields at the conformal point to derive conditions for the existence of non-singular solutions to special nonlinear differential equations (such as Painleve III).

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29

Katsuki, Y., Y. Kawamura, T. Kobayashi, N. Ohtsubo, and K. Tanioka. "Gauge Groups of ZN Orbifold Models." Progress of Theoretical Physics 82, no. 1 (July 1, 1989): 171–82. http://dx.doi.org/10.1143/ptp.82.171.

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30

Scrucca, C. A., M. Serone, L. Silvestrini, and A. Wulzer. "Gauge-Higgs Unification in Orbifold Models." Journal of High Energy Physics 2004, no. 02 (February 25, 2004): 049. http://dx.doi.org/10.1088/1126-6708/2004/02/049.

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31

Kobayashi, Tatsuo. "Quark mass matrices in orbifold models." Physics Letters B 358, no. 3-4 (September 1995): 253–58. http://dx.doi.org/10.1016/0370-2693(95)01006-c.

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32

Kobayashi, Tatsuo, and Noriyasu Ohtsubo. "Yukawa coupling condition of orbifold models." Physics Letters B 245, no. 3-4 (August 1990): 441–46. http://dx.doi.org/10.1016/0370-2693(90)90671-r.

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33

Kobayashi, Tatsuo, and Noriyasu Ohtsubo. "Allowed Yukawa couplings of orbifold models." Physics Letters B 262, no. 4 (June 1991): 425–31. http://dx.doi.org/10.1016/0370-2693(91)90616-x.

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34

del Aguila, F., and J. Santiago. "Low energy constraints on orbifold models." Nuclear Physics B - Proceedings Supplements 116 (March 2003): 326–30. http://dx.doi.org/10.1016/s0920-5632(03)80193-7.

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35

Dijkgraaf, Robbert, Cumrun Vafa, Erik Verlinde, and Herman Verlinde. "The operator algebra of orbifold models." Communications in Mathematical Physics 123, no. 3 (September 1989): 485–526. http://dx.doi.org/10.1007/bf01238812.

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36

GHILENCEA, DUMITRU, and HYUN MIN LEE. "HIGHER DERIVATIVE OPERATORS AS COUNTERTERMS IN ORBIFOLD COMPACTIFICATIONS." Modern Physics Letters A 21, no. 10 (March 28, 2006): 769–80. http://dx.doi.org/10.1142/s0217732306020147.

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Анотація:

In the context of 5D N = 1 supersymmetric models compactified on S1/Z2 or S1/(Z2×Z2′) orbifolds and with brane-localized superpotential, higher derivative operators are generated radiatively as one-loop counterterms to the mass of the (brane or zero mode of the bulk) scalar field. It is shown that the presence of such operators which are brane-localised is not related to the mechanism of supersymmetry breaking considered (F-term, discrete or continuous Scherk–Schwarz breaking) and initial supersymmetry does not protect against the dynamical generation of such operators. Since in many realistic models the scalar field is commonly regarded as the Higgs field, and the higher derivative operators seem a generic presence in orbifold compactifications, we stress the importance of these operators for solving the hierarchy problem.

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37

Kim, Jihn E. "Z12−I Orbifold Compactification toward SUSY Standard Model." International Journal of Modern Physics A 22, no. 31 (December 20, 2007): 5609–21. http://dx.doi.org/10.1142/s0217751x07038876.

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Анотація:

We explain the orbifold compactification in string models and present a Z12−I orbifold compactification toward supersymmetric standard models. We also point out an effective R-parity from this string construction. The VEVs of gauge singlets are chosen such that phenomenological constraints are satisfied.

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38

KOBAYASHI, TATSUO, NORIYASU OHTSUBO, and KAZUTAKA TANIOKA. "THE Z4 × Z4 ORBIFOLD MODEL AT AN ENHANCEMENT POINT AND THE 26 MODEL." International Journal of Modern Physics A 08, no. 20 (August 10, 1993): 3553–63. http://dx.doi.org/10.1142/s0217751x93001430.

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We construct a "shifted" Z4 × Z4 orbifold model equivalent to a twisted Z4 × Z4 orbifold model at an enhancement point. It is proved that the N = 2 algebra of the 26 model is coincident with that of the "shifted" orbifold model. The correspondence between the Z4 × Z4 orbifold model and the 26 model is investigated with respect to massless spectra and Yukawa couplings. Also studied are Yukawa couplings and some other aspects of the models away from the enhancement point.

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39

DUNBAR, DAVID C. "FERMIONIC STRING MODELS AND ZN ORBIFOLDS." Modern Physics Letters A 04, no. 24 (November 20, 1989): 2339–47. http://dx.doi.org/10.1142/s021773238900263x.

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40

KOBAKHIDZE, ARCHIL, and ANCA TUREANU. "GAUGE COUPLING UNIFICATION IN ORBIFOLD GUT'S." International Journal of Modern Physics A 21, no. 21 (August 20, 2006): 4323–41. http://dx.doi.org/10.1142/s0217751x06032472.

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Анотація:

We discuss Kaluza–Klein (KK) decomposition in five-dimensional (5D) field theories with orbifold compactification. Kinetic terms localized at orbifold fixed points, which are inevitably present in any realistic model, modify the standard KK mass spectrum and interactions of KK modes. This, in turn, can significantly affect phenomenology of the orbifold models. As an example, we discuss gauge coupling unification in N = 1 supersymmetric 5D orbifold SU(5) model. We have found that uncertainties in the predictions of the model related to modification of the KK masses are large and essentially uncontrollable.

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41

KOBAYASHI, TATSUO. "MINIMAL STRING UNIFICATION AND YUKAWA COUPLINGS IN ORBIFOLD MODELS." International Journal of Modern Physics A 10, no. 10 (April 20, 1995): 1393–411. http://dx.doi.org/10.1142/s0217751x9500067x.

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Анотація:

We study the minimal supersymmetric standard model derived from ZN×ZM orbifold models. Moduli-dependent threshold corrections of gauge couplings are investigated to explain the measured values of the coupling constants. We also study the Yukawa couplings of the models. We find that the Z2×Z2×Z6′, Z3×Z6 and Z6×Z6 orbifold models have the possibility of deriving Yukawa couplings for the second and third generations as well as the measured gauge coupling constants. Allowed models are shown explicitly by combinations of modular weights for the matter fields.

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42

KITAZOE, T., H. NISHIMURA, and M. TABUSE. "ORBIFOLD COMPACTIFICATIONS OF D<10 DIMENSIONAL FERMIONIC HETEROTIC STRING." Modern Physics Letters A 03, no. 10 (August 1988): 989–97. http://dx.doi.org/10.1142/s0217732388001161.

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Starting with D<10 dimensional fermionic heterotic string models and compactifying the remaining D−4 dimensions on Z3 orbifold, we study a scheme to combine the spin structure construction and the orbifold construction. It is shown that the scheme provides us with models which can easily accomodate a small number of chiral generations.

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43

Bhattacharyya, Gautam, and K. Sridhar. "Testing orbifold models of supersymmetric grand unification." Journal of Physics G: Nuclear and Particle Physics 29, no. 6 (April 22, 2003): 993–1000. http://dx.doi.org/10.1088/0954-3899/29/6/302.

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44

Ahsan, M. K., and T. Hübsch. "{\sbb Z}_7 orbifold models inM-theory." Journal of Physics A: Mathematical and Theoretical 42, no. 35 (August 12, 2009): 355209. http://dx.doi.org/10.1088/1751-8113/42/35/355209.

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45

Aoki, Kenichiro, Eric D'Hoker, and D. H. Phong. "On the construction of asymmetric orbifold models." Nuclear Physics B 695, no. 1-2 (September 2004): 132–68. http://dx.doi.org/10.1016/j.nuclphysb.2004.06.038.

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46

Lebedev, Oleg. "The CKM phase in heterotic orbifold models." Physics Letters B 521, no. 1-2 (November 2001): 71–78. http://dx.doi.org/10.1016/s0370-2693(01)01180-7.

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47

Fujitsu, Akira. "parafermionic current algebras of torus/orbifold models." Physics Letters B 240, no. 3-4 (April 1990): 345–50. http://dx.doi.org/10.1016/0370-2693(90)91110-w.

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48

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