Fixed Point Structure for 3 dimensional rigid string

TL;DR

This paper investigates the fixed point structure of a 3D rigid string model, revealing a trivial fixed point and proposing a new fixed point with enhanced symmetry when additional terms are considered.

Contribution

It introduces an additional symmetry-allowed term to the 3D rigid string model and analyzes the emergence of a new fixed point with expected symmetry properties.

Findings

Trivial fixed point consists of two decoupled conformal field theories.

Inclusion of an extra symmetry-allowed term leads to a new fixed point.

The new fixed point is studied in weak- and strong-coupling limits.

Abstract

We show that the usual fixed point for 3-d rigid string with topological term appears to be a trivial one, consisting of two decoupled conformal field theories. We further argue that by involving an additional term allowed by symmetries and thus generated by RG, the theory appears to exhibit a new fixed point with expected symmetriy. The new fixed point is studied in the weak- and string coupling limit.