Non-Critical Poincar\'e Invariant Bosonic String Backgrounds and Closed String Tachyons

TL;DR

This paper introduces a new class of non-critical bosonic string backgrounds with Poincaré invariance, featuring solutions with kink-like tachyon profiles and a proposed RG flow interpretation based on a specific tachyon potential.

Contribution

It presents novel non-critical bosonic string backgrounds in arbitrary dimensions with exact kink solutions for the closed string tachyon and an associated RG flow interpretation.

Findings

Exact kink solutions for the closed string tachyon in these backgrounds.

Asymptotic agreement of the metric and dilaton with linear dilaton backgrounds.

Proposal of a RG flow interpretation based on a specific tachyon potential.

Abstract

A new family of non critical bosonic string backgrounds in arbitrary space time dimension $D$ and with $ISO(1,D-2)$ Poincar\'e invariance are presented. The metric warping factor and dilaton agree asymptotically with the linear dilaton background. The closed string tachyon equation of motion enjoys, in the linear approximation, an exact solution of ``kink'' type interpolating between different expectation values. A renormalization group flow interpretation ,based on a closed string tachyon potential of type $-T^{2}e^{-T}$, is suggested.