Non-Critical Confining Strings and the Renormalization Group

TL;DR

This paper constructs non-critical string vacua satisfying Zig-Zag invariance, highlighting the Liouville mode as a scale in the Renormalization Group, and compares this approach to D-brane near horizon methods in gauge theories.

Contribution

It introduces new non-critical string vacua with Zig-Zag invariance and elucidates the role of the Liouville mode in the Renormalization Group framework.

Findings

Liouville mode acts as a scale in RG operations

Constructed string vacua satisfy Zig-Zag invariance

Discussed similarities with D-brane near horizon approaches

Abstract

String vacua for non critical strings satisfying the requirements of Zig-Zag invariance are constructed. The Liouville mode is shown to play the r\^ole of scale in the Renormalization Group operation. Differences and similarities with the D-brane near horizon approach to non supersymmetric gauge theories are discussed as well.