Ricci curvature corrections to type II supergravity

Abstract

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.

16 pages, no figure, Latex file; v2: some clarifications and references added

References in corpus (6)

• Double Field Theory
• Higher Derivative Brane Couplings from T-Duality
• Ramond-Ramond field strength couplings on D-branes
• T-duality of anomalous Chern-Simons couplings
• On RR couplings on D-branes at order $O({\alpha }^{\prime 2})$
• T-duality of the Riemann curvature corrections to supergravity

Cited by in corpus (20)

• Double Field Theory: A Pedagogical Review
• Higher-derivative couplings in string theory: dualities and the B-field
• On the non-attractive character of gravity in f(R) theories
• RNS derivation of N-point disk amplitudes from the revisited S-matrix approach
• Duality constraints on effective actions
• The Raychaudhuri equation in homogeneous cosmologies
• Minimal gauge invariant couplings at order ${\alpha }^{\prime 3}$: NS-NS fields
• Ramond-Ramond corrections to type II supergravity at order ${\alpha }^{\prime 3}$
• Sphere-level Ramond-Ramond couplings in Ramond-Neveu-Schwarz formalism
• Complete density perturbations in the Jordan-Fierz-Brans-Dicke theory
• T-duality and hints of generalized geometry in string ${\alpha }^{\prime }$ corrections
• Generalized Riemann curvature corrections to type II supergravity
• S-duality invariant dilaton couplings at order ${\alpha }^{\prime 3}$
• T-duality building blocks for ${\alpha }^{\prime }$ string corrections
• S-duality constraint on higher-derivative couplings
• Higher-derivative couplings and torsional Riemann curvature
• Backreaction mechanism in multifluid and extended cosmologies
• T-dual RR couplings on D-branes from S-matrix elements
• Non-minimal scalar-tensor theories
• Higher-derivative corrections to type II supergravity:Four Ramond-Ramond terms