RG Flows Towards IR Isolated Fixed Points: Some Type 0 Samples

TL;DR

This paper analyzes non-supersymmetric Type 0B string theory solutions, exploring their IR behavior and potential fixed points, and investigates the stability of brane configurations and their dual gauge theories.

Contribution

It identifies a fine-tuned gravity solution with an IR fixed point and examines the stability of brane stacks in these backgrounds, extending understanding of non-supersymmetric holography.

Findings

Existence of a fine-tuned IR fixed point solution with a vanishing tachyon

Instability of parallel brane stacks in IR conformal solutions due to repulsive forces

Potential stability of brane stacks in a solution dual to a confining gauge theory

Abstract

We perform here a critical analysis of some non-supersymmetric gravity solutions in Type 0B string theory. We first consider the most general configuration of parallel N electric and M magnetic D3-branes. The field theory living on their worldvolume is non-supersymmetric and non-conformal (if N is different from M) and has gauge group SU(N)XSU(M). We study the IR regime of the conjectured dual gravity background. A fine tuned solution exists with an asymptotically vanishing tachyon and a running dilaton, which could correspond to a flow towards an IR isolated fixed point at strong coupling. This opens the question upon the possibility of extending AdS/CFT techniques to flows towards IR isolated fixed points. We then use D3-branes as probes of this and other Type 0 backgrounds available in literature which cover the M=0 (or N=0) case. We shaw that for the fine tuned IR conformal solutions the stacks of parallel branes are plagued by instabilities, due to the repulsive force between branes of the same type. Curiously, for a particular solution which could be dual to a confining gauge theory, the stack should instead be stable.