# Moduli space of torsional manifolds

@article{Becker2007ModuliSO, title={Moduli space of torsional manifolds}, author={M. Becker and L. Tseng and S. Yau}, journal={Nuclear Physics}, year={2007}, volume={786}, pages={119-134} }

Abstract We characterize the geometric moduli of non-Kahler manifolds with torsion. Heterotic supersymmetric flux compactifications require that the six-dimensional internal manifold be balanced, the gauge bundle be Hermitian Yang–Mills, and also the anomaly cancellation be satisfied. We perform the linearized variation of these constraints to derive the defining equations for the local moduli. We explicitly determine the metric deformations of the smooth flux solution corresponding to a torus… Expand

#### 30 Citations

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We show that the complex cohomologies of Bott, Chern, and Aeppli and the symplectic cohomologies of Tseng and Yau arise in the context of type II string theory. Specifically, they can be used to… Expand

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Index Theorems on Torsional Geometries

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We study various topological invariants on a torsional geometry in the presence of a totally anti-symmetric torsion H under the closed condition dH = 0, which appears in string theory… Expand

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We compute the massless spectra of a set of flux vacua of the heterotic string. The vacua we study include well-known non-Kähler T2-fibrations over K3 with SU(3) structure and intrinsic torsion.… Expand

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We construct the space of infinitesimal variations for the Strominger system and an obstruction space to integrability, using elliptic operator theory. We initiate the study of the geometry of the… Expand

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A bstractWe study the four-dimensional effective theory arising from ten-dimensional heterotic supergravity compactified on manifolds with torsion. In particular, given the heterotic superpotential… Expand

Heterotic Kähler/non-Kähler Transitions

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We show how two topologically distinct spaces - the Kahler K3 x T^2 and the non-Kahler T^2 bundle over K3 - can be smoothly connected in heterotic string theory. The transition occurs when the base… Expand

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Abstract We show that a class of torsional compactifications of the heterotic string are dual to conventional Kahler heterotic string compactifications. This observation follows from the recently… Expand

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