Mirror symmetry and generalized complex manifolds. I: The transform on vector bundles, spinors, and branes

DOI10.1016/j.geomphys.2005.03.004zbMath1096.14031arXivmath/0405303OpenAlexW3021964593MaRDI QIDQ2489562

Oren Ben-Bassat

Publication date: 28 April 2006

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405303

zbMATH Keywords

mirror symmetryDirac manifoldsgeneralized complex manifolds

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Fibrations, degenerations in algebraic geometry (14D06) Other complex differential geometry (53C56) Connections (general theory) (53C05)

Related Items

Lectures on Cohomology, T-Duality, and Generalized Geometry, The low energy limit of string theory and its compactifications with background fluxes, Modified pure spinors and mirror symmetry, Tachyon condensation and D-branes in generalized geometries, T-duality with \(H\)-flux: non-commutativity, T-folds and \(G\times G\) structure, THREE-DIMENSIONAL TOPOLOGICAL FIELD THEORY INDUCED FROM GENERALIZED COMPLEX STRUCTURE, Categories of holomorphic line bundles on higher dimensional noncommutative complex tori, Hermitian structures on cotangent bundles of four dimensional solvable Lie groups, Weak mirror symmetry of complex symplectic Lie algebras, Remarks on the homological mirror symmetry for tori, Geometry of D-branes for general \(N=(2,2)\) sigma models, Generalized almost even-Clifford manifolds and their twistor spaces, Calibrations and T-duality, Lectures on generalized complex geometry for physicists

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