Interactions for Winding Strings in Misner Space

TL;DR

This paper develops a method to compute correlation functions of winding strings in Misner space, providing finite results for four-point functions and insights into tachyon condensation in a cosmological setting.

Contribution

It introduces an analytic continuation approach for correlators with twist fields in Misner space, advancing the understanding of winding tachyon dynamics.

Findings

Finite four-point twist field correlator obtained

Three-point functions are consistent with previous results

Method may help interpret tachyon potential in cosmology

Abstract

We compute correlation functions of closed strings in Misner space, a big crunch big bang universe. We develop a general method for correlators with twist fields, which are relevant for the investigation on the condensation of winding tachyon. We propose to compute the correlation functions by performing an analytic continuation of the results in C/Z_N Euclidean orbifold. In particular, we obtain a finite result for a general four point function of twist fields, which might be important for the interpretation as the quartic term of the tachyon potential. Three point functions are read off through the factorization, which are consistent with the known results.