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q-Poincare supersymmetry in AdS(5)/CFT4
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). KTH Royal Institute of Technology, Sweden.
Number of Authors: 22018 (English)In: Nuclear Physics B, ISSN 0550-3213, E-ISSN 1873-1562, Vol. 928, p. 321-355Article in journal (Refereed) Published
Abstract [en]

We consider the exact S-matrix governing the planar spectral problem for strings on AdS(5) x S-5 and N = 4 super Yang-Mills, and we show that it is invariant under a novel boost symmetry, which acts as a differentiation with respect to the particle momentum. This generator leads us also to reinterpret the usual centrally extended psu(2 vertical bar 2) symmetry, and to conclude that the S-matrix is invariant under a q-Poincare supersymmetry algebra, where the deformation parameter is related to the 't Hooft coupling. We determine the two-particle action (coproduct) that turns out to be non-local, and study the property of the new symmetry under crossing transformations. We look at both the strong-coupling (large tension in the string theory) and weak-coupling (spin-chain description of the gauge theory) limits; in the former regime we calculate the cobracket utilising the universal classical r-matrix of Beisert and Spill. In the eventuality that the boost has higher partners, we also construct a quantum affine version of 2D Poincare symmetry, by contraction of the quantum affine algebra U-q((sl(2)) over cap) in Drinfeld's second realisation.

Place, publisher, year, edition, pages
2018. Vol. 928, p. 321-355
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-154804DOI: 10.1016/j.nuclphysb.2018.01.017ISI: 000426994900014OAI: oai:DiVA.org:su-154804DiVA, id: diva2:1197725
Available from: 2018-04-13 Created: 2018-04-13 Last updated: 2018-04-13Bibliographically approved

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Borsato, Riccardo
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