Sphere-level Ramond-Ramond couplings in Ramond-Neveu-Schwarz formalism

Abstract

We calculate in details the sphere-level scattering amplitude of two Ramond-Ramond (RR) and two Neveu-Schwarz-Neveu-Schwarz (NSNS) vertex operators in type II superstring theories in Ramond-Neveu-Schwarz (RNS) formalism. We then compare the expansion of this amplitude at order ${\alpha }^{\prime 3}$ with the eight-derivative couplings of the gravity and B-field that have been recently found based on S-dual and T-dual Ward identities. We find exact agreement. Moreover, using the above S-matrix element, we have found various couplings involving the dilaton field, and shown that they are also fully consistent with these Ward identities.

34 pages, Latex file, no figure; v3: the version appears in npb

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• The Eikonal Approximation and the Gravitational Dynamics of Binary Systems
• On effective field theory of F-theory beyond leading order