Finite size effects and the supersymmetric sine-Gordon models

Abstract

We propose nonlinear integral equations to describe the groundstate energy of the fractional supersymmetric sine-Gordon models. The equations encompass the N=1 supersymmetric sine-Gordon model as well as the phi_(id,id,adj) perturbation of the SU(2)_L x SU(2)_K /SU(2)_(L+K) models at rational level K. A second set of equations are proposed for the groundstate energy of the N=2 supersymmetric sine-Gordon model.

arXiv comment14 pages, no figures. v2: small improvements and references added

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Cited by in corpus (21)

• Pseudo-differential equations, and the Bethe Ansatz for the classical Lie algebras
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• Complete Bethe Ansatz solution of the open spin-s XXZ chain with general integrable boundary terms
• Hybrid-NLIE for the AdS/CFT spectral problem
• Exact finite size spectrum in super sine-Gordon model
• TBA equations for the Schrödinger equation with a regular singularity
• Excited states nonlinear integral equations for an integrable anisotropic spin 1 chain
• The finite size spectrum of the 2-dimensional O(3) nonlinear sigma-model
• Finite size effects in the spin-1 XXZ and supersymmetric sine-Gordon models with Dirichlet boundary conditions
• Finite size effects in the SS-model: two component nonlinear integral equations
• Effective potentials and kink spectra in non-integrable perturbed conformal field theories
• Nonlinear integral equations for finite volume excited state energies of the O(3) and O(4) nonlinear sigma-models
• Nonlinear integral equations for the finite size effects of RSOS and vertex-models and related quantum field theories
• ODE/IM correspondence and supersymmetric affine Toda field equations
• Spinon excitations in the spin-1 XXZ chain and hidden supersymmetry
• Finite size effects and 2-string deviations in the spin-1 XXZ chains
• Boundary effects on the supersymmetric sine-Gordon model through light-cone lattice approach
• The QCD spin chain S matrix
• Finite volume spectrum of N=1 superminimal models perturbed by ${\Phi }_{13}$
• The ODE/IM Correspondence between $C(2{)}^{(2)}$-type Linear Problems and 2d $\mathcal{N}=1$ SCFT
• Addendum: Nonlinear integral equations for the sausage model