Exact finite size spectrum in super sine-Gordon model

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.

arXiv comment28 pages, LaTeX

References in corpus (20)

• Unified Approach to Thermodynamic Bethe Ansatz and Finite Size Corrections for Lattice Models and Field Theories
• Excited State Destri - De Vega Equation for Sine-Gordon and Restricted Sine-Gordon Models
• Non linear integral equation and excited--states scaling functions in the sine-Gordon model
• Nonlinear Integral Equation and Finite Volume Spectrum of Sine-Gordon Theory
• Truncated Conformal Space at c=1, Nonlinear Integral Equation and Quantization Rules for Multi-Soliton States
• Expectation values of local fields for a two-parameter family of integrable models and related perturbed conformal field theories
• Strings on pp-waves and massive two dimensional field theories
• Scaling Functions in the Odd Charge Sector of Sine-Gordon/Massive Thirring Theory
• Lattice regularization of massive and massless integrable field theories
• SUSY sine-Gordon theory as a perturbed conformal field theory and finite size effects
• Finite size effects in the XXZ and sine-Gordon models with two boundaries
• Nonlinear Integral Equation and Finite Volume Spectrum of Minimal Models Perturbed by ${\Phi }_{(1,3)}$
• Kinks in Finite Volume
• Finite size effects and the supersymmetric sine-Gordon models
• Excited states NLIE for sine-Gordon model in a strip with Dirichlet boundary conditions
• NLIE for hole excited states in the sine-Gordon model with two boundaries
• Excited states nonlinear integral equations for an integrable anisotropic spin 1 chain
• A local and integrable lattice regularization of the massive Thirring model
• Nonlinear integral equations for the finite size effects of RSOS and vertex-models and related quantum field theories
• RSOS revisited

Cited by in corpus (23)

• Finite Volume Spectrum of 2D Field Theories from Hirota Dynamics
• $Ad{S}_5\times S^5$ mirror TBA equations from Y-system and discontinuity relations
• Complete Bethe Ansatz solution of the open spin-s XXZ chain with general integrable boundary terms
• Hybrid-NLIE for the AdS/CFT spectral problem
• Kink Confinement and Supersymmetry
• Finite size effects in the spin-1 XXZ and supersymmetric sine-Gordon models with Dirichlet boundary conditions
• The finite size spectrum of the 2-dimensional O(3) nonlinear sigma-model
• Massless $Ad{S}_2$ scattering and Bethe ansatz
• Quench Dynamics in Two-Dimensional Integrable SUSY Models
• Suzuki equations and integrals of motion for supersymmetric CFT
• Bethe ansatz solvability and supersymmetry of the $M_2$ model of single fermions and pairs
• Bound States of Majorana Fermions in Semi-classical Approximation
• One point functions of fermionic operators in the Super Sine Gordon model
• Finite size effects and 2-string deviations in the spin-1 XXZ chains
• Contour deformation trick in hybrid NLIE
• Boundary effects on the supersymmetric sine-Gordon model through light-cone lattice approach
• Universality classes of order parameters composed of many body bound states
• Generic boundary scattering in the open XXZ chain
• A note on the IR limit of the NLIEs of boundary supersymmetric sine-Gordon model
• On the NLIE of (inhomogeneous) open spin-1 XXZ chain with general integrable boundary terms
• Finite volume spectrum of N=1 superminimal models perturbed by ${\Phi }_{13}$
• The QCD spin chain S matrix
• NLIE and finite size effects of the spin-1/2 XXZ and sine-Gordon models with two boundaries revisited