Ramond-Ramond corrections to type II supergravity at order ${\alpha }^{\prime 3}$

Abstract

Recently, it has been shown that the NS-NS corrections to the type II supergravity given by Gross and Sloan are invariant under the linear T-duality. In this paper, we study the invariance of this action under sequence of S-duality and linear T-duality to find the R-R corrections to the supergravity at order ${\alpha }^{\prime 3}$, up to field redefinition.

25 pages, Latex file, no figure; v4: typos corrected

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• Generalized Riemann curvature corrections to type II supergravity
• S-duality invariant dilaton couplings at order ${\alpha }^{\prime 3}$
• S-duality constraint on higher-derivative couplings
• Two Ramond-Ramond corrections to type II supergravity via field-theory amplitude
• Gauge field corrections to 11-dimensional supergravity via dimensional reduction
• On effective field theory of F-theory beyond leading order
• Higher-derivative corrections to type II supergravity:Four Ramond-Ramond terms