Exact finite size spectrum in super sine-Gordon model

2006/09/30 by Árpád Hegedűs, Arpad Hegedus, Francesco Ravanini +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Geometry #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Physics #Quantum mechanics #Sine #Spectrum (functional analysis) #Statistical physics #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2006.11.006

published as Nucl.Phys.B763:330-353,2007 · 28 pages, LaTeX

arxiv created 2006/09/30 · openalex publication_date 2006/11/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• SUSY sine-Gordon theory as a perturbed conformal field theory and finite size effects
• Strings on pp-waves and massive two dimensional field theories
• A local and integrable lattice regularization of the massive Thirring model