Yang Baxter and Anisotropic Sigma and Lambda Models, Cyclic RG and Exact S-Matrices
Abstract
Integrable deformation of SU(2) sigma and lambda models are considered at the classical and quantum levels. These are the Yang-Baxter and XXZ-type anisotropic deformations. The XXZ type deformations are UV safe in one regime, while in another regime, like the Yang-Baxter deformations, they exhibit cyclic RG behaviour. The associated affine quantum group symmetry, realized classically at the Poisson bracket level, has q a complex phase in the UV safe regime and q real in the cyclic RG regime, where q is an RG invariant. Based on the symmetries and RG flow we propose exact factorizable S-matrices to describe the scattering of states in the lambda models, from which the sigma models follow by taking a limit and non-abelian T-duality. In the cyclic RG regimes, the S-matrices are periodic functions of rapidity, at large rapidity, and in the Yang-Baxter case violate parity.
Cite
@article{arxiv.1706.05322,
title = {Yang Baxter and Anisotropic Sigma and Lambda Models, Cyclic RG and Exact S-Matrices},
author = {Calan Appadu and Timothy J. Hollowood and Dafydd Price and Daniel C. Thompson},
journal= {arXiv preprint arXiv:1706.05322},
year = {2017}
}
Comments
55 pages; v2 - refs added and some expanded discussion of \tilde{\beta}^\phi