S-duality constraint on higher-derivative couplings

Abstract

The Riemann curvature correction to the type II supergravity at eight-derivative level in string frame is given as e^{-2ϕ}(t_8t_8R^4+\frac{1}{4}\eps_{8}\eps_{8}R^4). For constant dilaton, it has been extended in the literature to the S-duality invariant form by extending the dilaton factor in the Einstein frame to the non-holomorphic Eisenstein series. For non-constant dilaton, however, there are various couplings in the Einstein frame which are not consistent with the S-duality. By constructing the tensors $t_{2n}$ from Born-Infeld action, we include the appropriate Ricci and scalar curvatures as well as the dilaton couplings to make the above action to be consistent with the S-duality.

23 pages, Latex file, no figure; v3:some typos corrected

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Cited by in corpus (7)

• $R^4$ terms in supergravities via T-duality constraint
• Sphere-level Ramond-Ramond couplings in Ramond-Neveu-Schwarz formalism
• Surface terms in the effective actions via duality constraints
• Ramond-Ramond S-matrix elements from T-dual Ward identity
• Surface terms in effective action of O-plane at order ${\alpha }^{\prime 2}$
• Higher-derivative corrections to type II supergravity:Four Ramond-Ramond terms
• Symmetries of non-maximal supergravities with higher-derivative corrections