Decoupling the SU(N)_2-homogeneous Sine-Gordon model

TL;DR

This paper systematically constructs form factors for the SU(N)_2 homogeneous Sine-Gordon model, analyzes its ultraviolet limit, and describes how the theory decouples into cosets based on resonance parameters.

Contribution

It introduces a determinant formula approach for form factors and elucidates the decoupling behavior along the renormalization group flow.

Findings

Explicit form factor formulas for local operators.

Identification of the Virasoro central charge and conformal dimensions.

Decoupling rules depending on resonance parameters.

Abstract

We provide a systematic construction for all n-particle form factors of the SU(N)_2/U(1)^{N-1}-homogeneous Sine-Gordon model in terms of general determinant formulae for a huge class of local operators. The ultraviolet limit is carried out and the corresponding Virasoro central charge together with the conformal dimensions of various operators are identified. The renormalization group flow is studied and we find a precise rule, depending on the relative order of magnitude of the resonance parameters, according to which the theory decouples into new cosets along the flow.