Effective superpotentials of Type II D-brane/F-theory on compact complete intersection Calabi–Yau threefolds
| Autor: | Fu-Zhong Yang, Hao Zou |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics Instanton Pure mathematics Complete intersection Holomorphic function FOS: Physical sciences General Physics and Astronomy 01 natural sciences Moduli Mathematics - Algebraic Geometry High Energy Physics::Theory Mathematics::Algebraic Geometry 0103 physical sciences FOS: Mathematics Calabi–Yau manifold 010306 general physics Algebraic Geometry (math.AG) Mathematics::Symplectic Geometry Mathematical Physics Physics 010308 nuclear & particles physics Superpotential Astronomy and Astrophysics Mathematical Physics (math-ph) F-theory High Energy Physics - Theory (hep-th) Mirror symmetry |
| Zdroj: | Modern Physics Letters A. 31:1650094 |
| ISSN: | 1793-6632 0217-7323 |
| DOI: | 10.1142/s0217732316500942 |
| Popis: | In this paper, we extend the GKZ-system method to the more general case: compact Complete Intersection Calabi-Yau manifolds (CICY). For several one-deformation modulus compact CICYs with D-branes, the on-shell superpotentials in this paper from the extended GKZ-system method are exactly consistent with published results obtained from other methods. We further compute the off-shell superpotentials of these models. Then we obtain both the on-shell and off-shell superpotentials for sev- eral two-deformation moduli compact CICYs with D-branes by using the extended GKZ-system method. The discrete symmetrical groups, Z2, Z3 and Z4, of the holo- morphic curves wrapped by D-branes play the important roles in computing the superpotentials, in some sense, they are the quantum symmetries of these models. Furthermore, through the mirror symmetry, the Ooguri-Vafa invariants are extracted from the A-model instanton expansion. |
| Databáze: | OpenAIRE |
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