Three-Point Disc Amplitudes in the RNS Formalism

TL;DR

This paper computes all tree-level string disc amplitudes involving arbitrary RR states and two NS-NS states in the RNS formalism, extending previous results to more general RR states using computer assistance.

Contribution

It provides a comprehensive calculation of three-point disc amplitudes with arbitrary RR states, expanding the known results in string theory.

Findings

All tree-level amplitudes involving arbitrary RR states and two NS-NS states are computed.

The results include amplitudes with RR states of type C_{p+1+2k}.

The use of computer algebra facilitated the calculation of complex amplitudes.

Abstract

We calculate all tree level string theory vacuum to Dp-brane disc amplitudes involving an arbitrary RR-state and two NS-NS vertex operators. This computation was earlier performed by K. Becker, Guo, and Robbins for the simplest case of a RR-state of type C_{p-3}. Here we use the aid of a computer to calculate all possible three-point amplitudes involving a RR-vertex operator of type C_{p+1+2k}.