The global structure of a c = 9 type (2, 2) moduli space

Shevitz, Daniel

doi:10.1016/0550-3213(90)90633-o

Cited by 10 publications

(11 citation statements)

References 28 publications

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“…(4.19). Needless to say, however, is that all of the above results, for both the S-duality and the target-space dualities, can be independently derived from string theory [30,31,32].…”

Section: Classical Resultsmentioning

confidence: 99%

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Perturbative couplings of vector multiplets in N = 2 heterotic string vacua

et al. 1995

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We study the low-energy effective Lagrangian of N = 2 heterotic string vacua at the classical and quantum level. The couplings of the vector multiplets are uniquely determined at the tree level, while the loop corrections are severely constrained by the exact discrete symmetries of the string vacuum. We evaluate the general transformation law of the perturbative prepotential and determine its form for the toroidal compactifications of six-dimensional N = 1 supersymmetric vacua.

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“…(4.19). Needless to say, however, is that all of the above results, for both the S-duality and the target-space dualities, can be independently derived from string theory [30,31,32].…”

Section: Classical Resultsmentioning

confidence: 99%

“…¶ For specific choices of the d ABC , the above results can now be compared to those derived directly from string theory [30,31,32].…”

Section: Xmentioning

confidence: 99%

Perturbative couplings of vector multiplets in N = 2 heterotic string vacua

et al. 1995

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“…where P corresponds to S 3 permutation group of three SL(2, Z) a [39]. In the context of heterotic string theory with standard embedding, these symmetries are identified with the flavor symmetries of matter fields.…”

Section: D Toroidal Orbifoldsmentioning

confidence: 99%

Symplectic modular symmetry in heterotic string vacua: flavor, CP, and $R$-symmetries

Ishiguro,

Kobayashi,

Otsuka

2021

Preprint

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We examine a common origin of four-dimensional flavor, CP, and U (1) R symmetries in the context of heterotic string theory with standard embedding. We find that flavor and U (1) R symmetries are unified into the Sp(2h + 2, C) modular symmetries of Calabi-Yau threefolds with h being the number of moduli fields. Together with the Z CP 2 CP symmetry, they are enhanced to GSp(2h+2, C) ≃ Sp(2h+2, C)⋊Z CP 2 generalized symplectic modular symmetry. We exemplify the S 3 , S 4 , T ′ , S 9 non-Abelian flavor symmetries on explicit toroidal orbifolds with and without resolutions and Z 2 , S 4 flavor symmetries on three-parameter examples of Calabi-Yau threefolds. Thus, non-trivial flavor symmetries appear in not only the exact orbifold limit but also a certain class of Calabi-Yau threefolds. These flavor symmetries are further enlarged to non-Abelian discrete groups by the CP symmetry.

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“…where P corresponds to S 3 permutation group of three SL(2, Z) a [49]. In the context of heterotic string theory with standard embedding, these symmetries are identified with the flavor symmetries of matter fields.…”

Section: Jhep01(2022)020mentioning

confidence: 99%

Symplectic modular symmetry in heterotic string vacua: flavor, CP, and R-symmetries

Ishiguro

Kobayashi

Otsuka

2022

J. High Energ. Phys.

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We examine a common origin of four-dimensional flavor, CP, and U(1)R symmetries in the context of heterotic string theory with standard embedding. We find that flavor and U(1)R symmetries are unified into the Sp(2h + 2, ℂ) modular symmetries of Calabi-Yau threefolds with h being the number of moduli fields. Together with the $$ {\mathbb{Z}}_2^{\mathrm{CP}} $$ ℤ 2 CP CP symmetry, they are enhanced to GSp(2h + 2, ℂ) ≃ Sp(2h + 2, ℂ) ⋊ $$ {\mathbb{Z}}_2^{\mathrm{CP}} $$ ℤ 2 CP generalized symplectic modular symmetry. We exemplify the S3, S4, T′, S9 non-Abelian flavor symmetries on explicit toroidal orbifolds with and without resolutions and ℤ2, S4 flavor symmetries on three-parameter examples of Calabi-Yau threefolds. Thus, non-trivial flavor symmetries appear in not only the exact orbifold limit but also a certain class of Calabi-Yau three-folds. These flavor symmetries are further enlarged to non-Abelian discrete groups by the CP symmetry.

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The global structure of a c = 9 type (2, 2) moduli space

Cited by 10 publications

References 28 publications

Perturbative couplings of vector multiplets in N = 2 heterotic string vacua

Perturbative couplings of vector multiplets in N = 2 heterotic string vacua

Symplectic modular symmetry in heterotic string vacua: flavor, CP, and $R$-symmetries

Symplectic modular symmetry in heterotic string vacua: flavor, CP, and R-symmetries

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