String Field Theory and the Fuzzy Sphere

TL;DR

This paper employs boundary string field theory to analyze open string tachyon condensation on a three-sphere background modeled by an $SU(2)_k$ WZW theory, computing the exact potential and decay modes.

Contribution

It provides the first exact computation of the tachyon potential on a curved three-sphere background using boundary string field theory.

Findings

Exact tachyon potential computed for the $SU(2)_k$ WZW model.

Identification of decay modes of the tachyon on the three-sphere.

Insights into open string dynamics in curved backgrounds.

Abstract

We use boundary string field theory to study open string tachyon condensation on a three-sphere closed string background. We consider the closed string background described by $SU(2)_k$ WZW model in the limit of large $k$. We compute the exact tachyon potential and analyse the decay modes.