Generalized complex manifolds and supersymmetry
TLDR
In this paper, a supersymmetric relative of the Poisson sigma model was constructed for deformation quantization in generalized complex geometry, a notion introduced by Hitchin which interpolates between complex and symplectic manifolds.Abstract:
We find a worldsheet realization of generalized complex geometry, a notion introduced recently by Hitchin which interpolates between complex and symplectic manifolds. The two–dimensional model we construct is a supersymmetric relative of the Poisson sigma model used in the context of deformation quantization.read more
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Generalized complex geometry
TL;DR: In this paper, the concept of a generalized Kahler manifold has been introduced, which is equivalent to a bi-Hermitian geometry with torsion first discovered by physicists.
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Flux compactifications in string theory: A Comprehensive review
Mariana Graña,Mariana Graña +1 more
TL;DR: In this paper, a pedagogical overview of flux compactifications in string theory is presented, from the basic ideas to the most recent developments, focusing on closed-string fluxes in type-II theories.
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Electric-Magnetic Duality And The Geometric Langlands Program
Anton Kapustin,Edward Witten +1 more
TL;DR: The geometric Langlands program can be described in a natural way by compactifying on a Riemann surface C a twisted version of N=4 super Yang-Mills theory in four dimensions as discussed by the authors.
Lectures on Electric-Magnetic Duality and the Geometric Langlands Program
TL;DR: In this paper, the authors provide an introduction to the recent work on the Montonen-Olive duality of N = 4 super-Yang-Mills theory and the Geometric Langlands Program.
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Generalized complex geometry
TL;DR: Generalized complex geometry encompasses complex and symplectic ge- ometry as its extremal special cases as mentioned in this paper, including generalized complex branes, which interpolate be- tween at bundles on Lagrangian submanifolds and holomorphic bundles on complex sub-mansifolds, and the basic properties of this geometry, including its enhanced symmetry group, elliptic deforma- tion theory, relation to Poisson geometry, and local structure theory.
References
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String theory and noncommutative geometry
Nathan Seiberg,Edward Witten +1 more
TL;DR: In this article, a non-zero B-field is introduced for string theory and the entire string dynamics is described by a minimally coupled (supersymmetric) gauge theory on a noncommutative space, and the corrections away from this limit are discussed.
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Generalized complex geometry
TL;DR: In this paper, the concept of a generalized Kahler manifold has been introduced, which is equivalent to a bi-Hermitian geometry with torsion first discovered by physicists.
Journal ArticleDOI
Generalized Calabi-Yau manifolds
TL;DR: A geometrical structure on even-dimensional manifolds is defined in this paper, which generalizes the notion of a Calabi-Yau manifold and also a symplectic manifold.
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Twisted multiplets and new supersymmetric non-linear σ-models☆☆☆★
TL;DR: In this paper, the twisted chiral multiplet is used to formulate supersymmetric nonlinear σ-models with N = 2,4 extended supersymmetry, which fall outside the classification given by Alvarez-Gaume and Freedman.
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Super Poincare covariant quantization of the superstring
TL;DR: In this article, the authors present a study on the use of the Fis.Inst. Teorica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900, Sao Paulo, SP