Scattering and duality in the 2 dimensional OSP(2|2) Gross Neveu and sigma models

Abstract

We write the thermodynamic Bethe ansatz for the massive OSp(2|2) Gross Neveu and sigma models. We find evidence that the GN S matrix proposed by Bassi and Leclair [12] is the correct one. We determine features of the sigma model S matrix, which seem highly unconventional; we conjecture in particular a relation between this sigma model and the complex sine-Gordon model at a particular value of the coupling. We uncover an intriguing duality between the OSp(2|2) GN (resp. sigma) model on the one hand, and the SO(4) sigma (resp. GN model) on the other, somewhat generalizing to the massive case recent results on OSp(4|2). Finally, we write the TBA for the (SUSY version of the) flow into the random bond Ising model proposed by Cabra et al. [39], and conclude that their S matrix cannot be correct.

41 pages, 27 figures. v2: minor revision

References in corpus (7)

• Supersymmetric Bethe Ansatz and Baxter Equations from Discrete Hirota Dynamics
• Solutions of the T-system and Baxter equations for supersymmetric spin chains
• On the SU(2|1) WZW model and its statistical mechanics applications
• From Characters to Quantum (Super)Spin Chains via Fusion
• Principal Chiral Model on Superspheres
• A lattice approach to the conformal $\OSp(2S+2|2S)$ supercoset sigma model. Part II: The boundary spectrum
• Exact solution and finite size properties of the $U_q[osp(2|2m)]$ vertex model

Cited by in corpus (8)

• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• PSU(2,2|4) Character of Quasiclassical AdS/CFT
• New renormalons from analytic trans-series
• On wrapping corrections to GKP-like operators
• Y-system for Z_S Orbifolds of N=4 SYM
• Continuum Limit of gl(M/N) Spin Chains
• Dual description of $\eta$-deformed OSP sigma models
• Multi-parametric R-matrix for the sl(2|1) Yangian