The kinematical AdS5xS5 Neumann coefficient

TL;DR

This paper constructs an exact, all-order wrapping correction solution for the kinematical Neumann coefficient in AdS5xS5 string field theory, expressed through elliptic functions, valid at any coupling.

Contribution

It provides the first exact solution of the kinematical axioms including all wrapping corrections for AdS5xS5, using elliptic functions, applicable at any coupling.

Findings

Solution expressed in elliptic Gamma and elliptic functions

Valid at any coupling, including weak and strong limits

Analyzed limits: weak coupling, pp-wave, large L

Abstract

For the case of two particles a solution of the string field theory vertex axioms can be factorized into a standard form factor and a kinematical piece which includes the dependence on the size of the third string. In this paper we construct an exact solution of the kinematical axioms for AdS5xS5 which includes all order wrapping corrections w.r.t. the size of the third string. This solution is expressed in terms of elliptic Gamma functions and ordinary elliptic functions. The solution is valid at any coupling and we analyze its weak coupling, pp-wave and large L limit.