Yangian of AdS3/CFT2 and its deformation

Vidas Regelskis

doi:10.1016/j.geomphys.2016.04.001

Yangian of AdS3/CFT2 and its deformation

Vidas Regelskis

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Journal	Journal of Geometry and Physics
DOIs	https://doi.org/10.1016/j.geomphys.2016.04.001
Publication status	Published - 12 Mar 2015

Bibliographical note

21 pages, 1 figure. Final version. Accepted to J. Geom. and Phys

Keywords

math-ph
hep-th
math.MP
math.QA
81R10, 81R12 (Primary), 81T30, 81Q80 (Secondary)

Access to Document

10.1016/j.geomphys.2016.04.001

Cite this

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KW - math.MP

KW - math.QA

KW - 81R10, 81R12 (Primary), 81T30, 81Q80 (Secondary)

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