Off-shell D-brane/F-theory effective superpotentials and Ooguri–Vafa invariants of several compact Calabi–Yau manifolds

DOI10.1142/S0217732314500618zbMath1290.81108arXiv1303.3318OpenAlexW2055235816MaRDI QIDQ4979504

Shi Cheng, Fengjun Xu, Fuzhong Yang

Publication date: 23 June 2014

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.3318

zbMATH Keywords

mirror symmetryD-braneF-theoryCalabi-Yau manifoldsuperpotentialOoguri-Vafa invariant

Mathematics Subject Classification ID

Supergravity (83E50) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Supersymmetry and quantum mechanics (81Q60) Compactifications; symmetric and spherical varieties (14M27)

Cites Work

• Computing brane and flux superpotentials in F-theory compactifications
• Five-brane superpotentials, blow-up geometries and \(SU(3)\) structure manifolds
• Type II/F-theory superpotentials with several deformations and \( \mathcal{N} = 1 \) mirror symmetry
• Five-brane superpotentials and heterotic/F-theory duality
• Hints for off-shell mirror symmetry in type II/F-theory compactifications
• The D5-brane effective action and superpotential in \({\mathcal N}=1\) compactifications
• Effective superpotentials for compact D5-brane Calabi-Yau geometries
• Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces
• Flat connections in open string mirror symmetry
• GKZ-generalized hypergeometric systems in mirror symmetry of Calabi-Yau hypersurfaces
• Phases of \(N=2\) theories in two dimensions
• Opening mirror symmetry on the quintic
• Holomorphic couplings in non-perturbative string compactifications
• RR flux on Calabi-Yau and partial supersymmetry breaking
• Knot invariants and topological strings.
• CFT's from Calabi-Yau four-folds