String vacua with flux from freely-acting obifolds

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1088/1126-6708/2004/01/012

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.

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