On the integrability of two-dimensional models with U(1)xSU(N) symmetry
Abstract
In this paper we study the integrability of a family of models with U(1)xSU(N) symmetry. They admit fermionic and bosonic formulations related through bosonization and subsequent T-duality. The fermionic theory is just the CP^(N-1) sigma model coupled to a self-interacting massless fermion, while the bosonic one defines a one-parameter deformation of the O(2N) sigma model. For N=2 the latter model is equivalent to the integrable deformation of the O(4) sigma model discovered by Wiegmann. At higher values of N we find that integrability is more sporadic and requires a fine-tuning of the parameters of the theory. A special case of our study is the N=4 model, which was found to describe the AdS_4xCP^3 string theory in the Alday-Maldacena decoupling limit. In this case we propose a set of asymptotic Bethe ansatz equations for the energy spectrum.
Cite
@article{arxiv.1207.0413,
title = {On the integrability of two-dimensional models with U(1)xSU(N) symmetry},
author = {Benjamin Basso and Adam Rej},
journal= {arXiv preprint arXiv:1207.0413},
year = {2015}
}
Comments
61 pages, 7 figures