TY - JOUR
T1 - Yangian of AdS3/CFT2 and its deformation
AU - Regelskis, Vidas
N1 - 21 pages, 1 figure. Final version. Accepted to J. Geom. and Phys
PY - 2015/3/12
Y1 - 2015/3/12
N2 - 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.
AB - 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.
KW - math-ph
KW - hep-th
KW - math.MP
KW - math.QA
KW - 81R10, 81R12 (Primary), 81T30, 81Q80 (Secondary)
U2 - 10.1016/j.geomphys.2016.04.001
DO - 10.1016/j.geomphys.2016.04.001
M3 - Article
JO - Journal of Geometry and Physics
JF - Journal of Geometry and Physics
SN - 0393-0440
ER -