Superconformal Gauge Theories and Non-Critical Superstrings

TL;DR

This paper explores six-dimensional non-critical superstring effective actions with fluxes and D-branes, proposing dualities to certain supersymmetric gauge theories and discussing bounds on tachyonic modes within the conformal window.

Contribution

It introduces new $AdS_5 imes S^1$ solutions in non-critical superstring theory with fluxes and branes, linking them to ${ m extbf{N}=1}$ supersymmetric gauge theories.

Findings

Constructed $AdS_5 imes S^1$ solutions with fluxes and branes.

Proposed bounds on tachyonic field masses to ensure conformality.

Suggested duality between string backgrounds and supersymmetric gauge theories.

Abstract

We consider effective actions for six-dimensional non-critical superstrings. We show that the addition of $N$ units of R-R flux and of $N_f$ space-time filling D5-branes produces $AdS_5 \times S^1$ solutions with curvature comparable to the string scale. These solutions have the right structure to be dual to ${\cal N}=1$ supersymmetric SU(N) gauge theories with $N_f$ flavors. We further suggest bounds on the mass-squared of tachyonic fields in this background that should restrict the theory to the conformal window.