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AdS3/CFT2 and q-Poincare superalgebras

Torrielli, A and Stromwall, J (2016) AdS3/CFT2 and q-Poincare superalgebras Journal of Physics A: Mathematical and Theoretical, 49 (43).

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We discover that a certain deformation of the 1 + 1 dimensional Poincar e 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.

Item Type: Article
Subjects : Mathematics
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Torrielli, A
Stromwall, J
Date : 6 October 2016
DOI : 10.1088/1751-8113/49/43/435402
Copyright Disclaimer : This is an author-created, un-copyedited version of an article accepted for publication/published in Journal of Physics A: Mathematical and Theoretical. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at 10.1088/1751-8113/49/43/435402
Depositing User : Symplectic Elements
Date Deposited : 03 Oct 2016 10:00
Last Modified : 06 Oct 2017 02:08

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