ZN orbifold models

Katsuki, Yasuhiko; Kawamura, Yoshiharu; Kobayashi, Tatsuo; Ohtsubo, Noriyasu; Ono, Y.; Tanioka, Kazutaka

doi:10.1016/0550-3213(90)90542-l

Cited by 122 publications

(172 citation statements)

References 40 publications

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“…In addition to T 2 /Z 2 , there are other two-dimensional orbifolds, T 2 /Z N for N = 3, 4, 6 [36,37]. (See for their geometrical aspects [38][39][40]. 5 ) Moreover, there are various orbifolds in six dimensions like T 6 /Z 7 , T 6 /Z 8 , T 6 /Z 12 , etc.…”

Section: Jhep01(2014)065mentioning

confidence: 99%

Z N twisted orbifold models with magnetic flux

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Fujimoto

Kobayashi

et al. 2014

J. High Energ. Phys.

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Abstract:We propose new backgrounds of extra dimensions to lead to four-dimensional chiral models with three generations of matter fermions, that is T 2 /Z N twisted orbifolds with magnetic fluxes. We consider gauge theory on six-dimensional space-time, which contains the T 2 /Z N orbifold with magnetic flux, Scherk-Schwarz phases and Wilson line phases. We classify all the possible Scherk-Schwarz and Wilson line phases on T 2 /Z N orbifolds with magnetic fluxes. The behavior of zero modes is studied. We derive the number of zero modes for each eigenvalue of the Z N twist, showing explicitly examples of wave functions. We also investigate Kaluza-Klein mode functions and mass spectra.

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Section: Jhep01(2014)065mentioning

confidence: 99%

Z N twisted orbifold models with magnetic flux

Abe

Fujimoto

Kobayashi

et al. 2014

J. High Energ. Phys.

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“…Let us start with a brief introduction to strings on orbifolds [12,22] (for recent reviews see [23,18,20] …”

Section: Strings On Orbifolds 21 Review Of Basic Factsmentioning

confidence: 99%

Stringy origin of non-Abelian discrete flavor symmetries

et al. 2007

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We study the origin of non-Abelian discrete flavor symmetries in superstring theory. We classify all possible non-Abelian discrete flavor symmetries which can appear in heterotic orbifold models. These symmetries include D 4 and ∆(54). We find that the symmetries of the couplings are always larger than the symmetries of the compact space. This is because they are a consequence of the geometry of the orbifold combined with the space group selection rules of the string. We also study possible breaking patterns. Our analysis yields a simple geometric understanding of the realization of non-Abelian flavor symmetries.

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“…Now we can easily read off momentum modes with orbifold phase p · V ∼ 1/3 as 12) and no solution for p (5) . These states survive the orbifold projection when combined with the right-moving H-momentum states (2.7), resulting in the following chiral supermultiplets: table 2 for U(1) charges).…”

Section: Jhep01(2014)013mentioning

confidence: 99%

“…Especially, in the framework of heterotic Z N or Z N × Z M orbifold compactifications [1,2], embedding a supersymmetric standard model or a higher dimensional grand unified theory into heterotic string theory is considered [3][4][5][6][7][8][9][10][11][12][13][14] (also see a review [15]). Since strings on an orbifold can be described by a solvable worldsheet conformal field theory [16,17], it is possible to calculate Yukawa couplings and selection rules [18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%