AdS3/CFT2 and q-Poincare' superalgebras
High Energy Physics - Theory
2016-09-27 v3
Abstract
We discover that a certain deformation of the 1+1 dimensional Poincare' superalgebra is exactly realised in the massless sector of the AdS3/CFT2 integrable scattering problem. Deformed Poincar\'e superalgebras were previously noticed to appear in the AdS5/CFT4 correspondence - which displays only massive excitations -, but they were there only a partial symmetry. We obtain a representation of the boost operator and its coproduct, and show that the comultiplication exactly satisfies the homomorphism property. We present a classical limit, and finally speculate on an analogy with the physics of phonons.
Keywords
Cite
@article{arxiv.1606.02217,
title = {AdS3/CFT2 and q-Poincare' superalgebras},
author = {Joakim Stromwall and Alessandro Torrielli},
journal= {arXiv preprint arXiv:1606.02217},
year = {2016}
}
Comments
21 pages, no figures, pdfLaTeX; v2: typos corrected, references added; v3: matches journal version