Exact finite size spectrum in super sine-Gordon model
Arpad Hegedus, Francesco Ravanini, Junji Suzuki
TL;DR
This paper derives nonlinear integral equations to describe finite size effects in the N=1 super sine-Gordon model, confirming its scattering and conformal data through various analyses.
Contribution
It introduces coupled NLIE for the super sine-Gordon model's finite size spectrum, matching scattering and conformal data, advancing understanding of this integrable quantum field theory.
Findings
Infrared limit matches super sine-Gordon S-matrix
Ultraviolet analysis aligns with c=3/2 conformal field theory
Conformal perturbation theory supports the results
Abstract
We present the coupled nonlinear integral equations (NLIE) governing the finite size effects in N=1 super sine-Gordon model for the vacuum as well as for the excited states. Their infrared limit correctly yields the scattering data of the super sine-Gordon S-matrix conjectured by Ahn. Ultraviolet analysis is in agreement with the expected conformal data of c=3/2 CFT. Conformal perturbation theory further corroborates this result.
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