Closed String Tachyons on C/Z_N

TL;DR

This paper investigates the potential and interactions of closed string tachyons on the $C/Z_N$ orbifold, focusing on the large $N$ limit to understand tachyon condensation and stability.

Contribution

It constructs the tachyon potential up to quartic order in the large $N$ limit and analyzes the role of higher order interactions for potential minima.

Findings

Quartic coupling computed by subtracting massless exchange contributions.

Near marginal tachyons identified in the large N limit.

Higher point interactions are significant for potential stability.

Abstract

We analyse the condensation of closed string tachyons on the $C/Z_N$ orbifold. We construct the potential for the tachyons upto the quartic interaction term in the large $N$ limit. In this limit there are near marginal tachyons. The quartic coupling for these tachyons is calculated by subtracting from the string theory amplitude for the tachyons, the contributions from the massless exchanges, computed from the effective field theory. We argue that higher point interaction terms are are also of the same order in 1/N as the quartic term and are necessary for existence of the minimum of the tachyon potential that is consistent with earlier analysis.