String vacua with flux from freely-acting obifolds

Abstract

A precise correspondence between freely-acting orbifolds (Scherk-Schwarz compactifications) and string vacua with NSNS flux turned on is established using T-duality. We focus our attention to a certain non-compact Z_2 heterotic freely-acting orbifold with N=2 supersymmetry (SUSY). The geometric properties of the T-dual background are studied. As expected, the space is non-Kahler with the most generic torsion compatible with SUSY. All equations of motion are satisfied, except the Bianchi identity for the NSNS field, that is satisfied only at leading order in derivatives, i.e. without the curvature term. We point out that this is due to unknown corrections to the standard heterotic T-duality rules.

13 pages, no figures; v2: references added and rearranged, version to appear in JHEP

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Cited by in corpus (24)

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• Asymmetric Orbifolds, Non-Geometric Fluxes and Non-Commutativity in Closed String Theory
• Lectures on Nongeometric Flux Compactifications
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• Moduli Stabilisation in Heterotic String Compactifications
• Gauged supergravities and non-geometric Q/R-fluxes from asymmetric orbifold CFT's
• D-branes in Nongeometric Backgrounds
• ${\mathcal{R}}^2$ inflation from scale invariant supergravity and anomaly free superstrings with fluxes
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