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arxiv: 1210.4379 · v2 · submitted 2012-10-16 · ✦ hep-th

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Ricci curvature corrections to type II supergravity

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classification ✦ hep-th
keywords t-dualitycouplingsunderb-fieldcorrectionscurvaturedilatoninvariant
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We examine the NS-NS corrections to the type II supergravity given by Gross and Sloan, under the linear T-duality transformations. We show that the gravity and the B-field couplings are invariant under off-shell T-duality, whereas the dilaton couplings are invariant under on-shell T-duality. Requiring the compatibility of the dilaton couplings with off-shell T-duality as a guiding principle, we extend them to include the appropriate Ricci curvature and the divergence of the B-field strength.

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