Generalized cohomologies and supersymmetry

DOI10.1007/s00220-014-1895-2zbMath1288.81125arXiv1111.6968OpenAlexW2118908195MaRDI QIDQ2447584

Li-Sheng Tseng, Shing Tung Yau

Publication date: 28 April 2014

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

Full work available at URL: https://arxiv.org/abs/1111.6968

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Supersymmetric field theories in quantum mechanics (81T60) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items (18)

Estimates for a geometric flow for the type IIB string ⋮ Moduli identification methods in type II compactifications ⋮ Cohomologies of certain orbifolds ⋮ Canonical metrics on holomorphic Courant algebroids ⋮ On cohomological decomposition of generalized-complex structures ⋮ Bott-Chern cohomology of solvmanifolds ⋮ Twisted Frölicher-type inequality on foliations ⋮ On Bott-Chern and Aeppli cohomologies of almost complex manifolds and related spaces of harmonic forms ⋮ Holomorphic Poisson structure and its cohomology on nilmanifolds ⋮ On the \(\partial\overline{\partial}\)-lemma and Bott-Chern cohomology ⋮ Degree of non-Kählerianity for 6-dimensional nilmanifolds ⋮ Non-Kähler SYZ mirror symmetry ⋮ Cohomologies of generalized complex manifolds and nilmanifolds ⋮ A Frölicher-type inequality for generalized complex manifolds ⋮ Symplectic boundary conditions and cohomology ⋮ Aeppli and Bott-Chern cohomology for bi-generalized Hermitian manifolds and \(d^\prime d^{\prime\prime}\)-lemma ⋮ Bochner-Kodaira formulas and the type IIA flow ⋮ On the Bott–Chern cohomology and balanced Hermitian nilmanifolds

Cites Work

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• Generalized complex geometry
• Deformations of calibrated D-branes in flux generalized complex manifolds
• Moduli space of Calabi-Yau manifolds
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• Cohomology and Hodge theory on symplectic manifolds. I
• Cohomology and Hodge theory on symplectic manifolds. II
• Generalized complex structures on nilmanifolds
• Moduli space of torsional manifolds
• Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section
• Lectures on generalized complex geometry for physicists
• Generalized Calabi-Yau Manifolds
• Supersymmetric backgrounds from generalized Calabi‐Yau manifolds

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