Yangian of AdS3/CFT2 and its deformation
Mathematical Physics
2016-04-25 v4 High Energy Physics - Theory
math.MP
Quantum Algebra
Abstract
We construct highest-weight modules and a Yangian extension of the centrally extended sl(1|1)^2 superalgebra, that is a symmetry of the worldsheet scattering associated with the AdS3/CFT3 duality. We demonstrate that the R-matrix intertwining atypical modules is of a trigonometric type. We also consider a quantum deformation of this superalgebra, its modules, and obtain a quantum affine extension of the Drinfeld-Jimbo type that describes a deformed worldsheet scattering.
Keywords
Cite
@article{arxiv.1503.03799,
title = {Yangian of AdS3/CFT2 and its deformation},
author = {Vidas Regelskis},
journal= {arXiv preprint arXiv:1503.03799},
year = {2016}
}
Comments
21 pages, 1 figure. Final version. Accepted to J. Geom. and Phys