Heterotic Flux Compactifications and Their Moduli

Abstract

We study supersymmetric compactification to four dimensions with non-zero H-flux in heterotic string theory. The background metric is generically conformally balanced and can be conformally Kahler if the primitive part of the H-flux vanishes. Analyzing the linearized variational equations, we write down necessary conditions for the existence of moduli associated with the metric. In a heterotic model that is dual to a IIB compactification on an orientifold, we find the metric moduli in a fixed H-flux background via duality and check that they satisfy the required conditions. We also discuss expressing the conditions for moduli in a fixed flux background using twisted differential operators.

25 pages, harvmac; v2: references added and minor changes; v3: published version, minor clarifications added

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Cited by in corpus (33)

• Anomaly Cancellation and Smooth Non-Kahler Solutions in Heterotic String Theory
• Holomorphic Bundles and the Moduli Space of N=1 Supersymmetric Heterotic Compactifications
• Geometric Transitions, Flops and Non-Kahler Manifolds: II
• Infinitesimal moduli for the Strominger system and Killing spinors in generalized geometry
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• The Revival of (0,2) Linear Sigma Models
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• Heterotic Cosmic Strings
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• Gauge-Gravity Dualities, Dipoles and New Non-Kahler Manifolds
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• The Heterotic Superpotential and Moduli
• Heterotic Standard Model Moduli
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