S-matrices and quantum group symmetry ofk-deformed sigma models

Timothy J Hollowood, J Luis Miramontes, David M Schmidtt
2016 Journal of Physics A: Mathematical and Theoretical  
Recently, several kinds of integrable deformations of the string world sheet theory in the gauge/gravity correspondence have been constructed. One class of these, the k deformations associated to the more general q deformations but with q=exp(i pi/k) a root of unity, has been shown to be related to a particular discrete deformation of the principal chiral models and (semi-)symmetric space sigma models involving a gauged WZW model. We conjecture a form for the exact S-matrices of the bosonic
more » ... of the bosonic integrable field theories of this type. The S-matrices imply that the theories have a hidden infinite dimensional affine quantum group symmetry. We provide some evidence, via quantum inverse scattering techniques, that the theories do indeed possess the finite-dimensional part of this quantum group symmetry.
doi:10.1088/1751-8113/49/46/465201 fatcat:dmulqcgs7jacfcj7dlwszwgm7i