On zigzag-invariant strings

TL;DR

This paper introduces a new string model invariant under zigzag transformations, realized through a perturbed WZNW model, and discusses how gravitational dressing leads to additional critical points in the renormalization group flow.

Contribution

It presents a novel world-sheet realization of zigzag-invariant strings via a perturbed WZNW model and explores the emergence of new critical points from gravitational dressing.

Findings

Identification of a new critical point as a zigzag-invariant string model

Demonstration that gravitational dressing affects the renormalization group flow

Proposal of a world-sheet realization for zigzag-invariant strings

Abstract

We propose a world-sheet realization of the zigzag-invariant strings as a perturbed WZNW model at large negative level. We argue that the gravitational dressing produces additional fixed points of the dressed renormalization beta function. One of these new critical points can be interpreted as a zigzag-invariant string model.