CLOSED SUB-MONODROMY PROBLEMS, LOCAL MIRROR SYMMETRY AND BRANES ON ORBIFOLDS

DOI10.1142/S0129055X01000867zbMath1029.81059arXivhep-th/0009072MaRDI QIDQ4418295

Yoko Onjo, Yang, Sung-Kil, Kenji Mohri

Publication date: 7 August 2003

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0009072

zbMATH Keywords

Picard-Fuchs equationsCalabi-Yau threefoldDirichlet L-functionMeijer G-functionsdel Pezzo models

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Period matrices, variation of Hodge structure; degenerations (32G20) Applications of hypergeometric functions (33C90) Relations with algebraic geometry and topology (11F23)

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Cites Work

• A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory.
• Variations of the mixed Hodge structure of affine hypersurfaces in algebraic tori
• Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces
• Small volumes in compactified string theory
• Non-critical strings, del Pezzo singularities and Seiberg-Witten curves
• Partition functions for BPS states of the non-critical \(E_8\) string
• Anomalies, branes, and currents
• Donaldson-Witten functions of massless \(N=2\) supersymmetric QCD
• Duality between string junctions and D-branes on del Pezzo surfaces
• Arithmetic properties of mirror map and quantum coupling
• D-branes on Calabi-Yau spaces and their mirrors
• Measuring small distances in \(N=2\) sigma models
• Fibrés stables et fibrés exceptionnels sur $\mathbb{P}_2$
• THE MARKOV NUMBERS AND EXCEPTIONAL BUNDLES ON P²
• Monstrous Moonshine
• Mahler's Measure and Special Values of L-functions
• Deligne periods of mixed motives, $K$-theory and the entropy of certain $\mathbb {Z}^n$-actions
• Topics in D-geometry
• BPS states of exceptional non-critical strings
• Del Pezzo surfaces and affine 7-brane backgrounds
• D-branes on some one- and two-parameter Calabi-Yau hypersurfaces
• Fractional branes and boundary states in orbifold theories
• Local mirror symmetry: Calculations and interpretations
• D-branes and bundles on elliptic fibrations.
• D-branes on \(K3\)-fibrations