SUSY sine-Gordon theory as a perturbed conformal field theory and finite size effects

TL;DR

This paper analyzes SUSY sine-Gordon theory using perturbed conformal field theory, confirming its vacuum structure and finite size effects through multiple methods, and extending the NLIE approach to all vacua.

Contribution

It provides a comprehensive analysis of SUSY sine-Gordon theory within perturbed conformal field theory, including vacuum structure, kink adjacency, and finite size effects, with cross-validation across several methods.

Findings

Vacuum structure and kink adjacency diagram determined

Consistency established between Lagrangian, PCFT, NLIE, and massgap formula

Extended NLIE description to all vacua of the theory

Abstract

We consider SUSY sine-Gordon theory in the framework of perturbed conformal field theory. Using an argument from Zamolodchikov, we obtain the vacuum structure and the kink adjacency diagram of the theory, which is cross-checked against the exact S matrix prediction, first-order perturbed conformal field theory (PCFT), the NLIE method and truncated conformal space approach. We provide evidence for consistency between the usual Lagrangian description and PCFT on the one hand, and between PCFT, NLIE and a massgap formula conjectured by Baseilhac and Fateev, on the other. In addition, we extend the NLIE description to all the vacua of the theory.