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q-Poincaré supersymmetry in AdS5/CFT4
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
2018 (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 AdS5×S5 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|2) symmetry, and to conclude that the S-matrix is invariant under a q-Poincaré 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 Poincaré symmetry, by contraction of the quantum affine algebra Uq(sl2ˆ) in Drinfeld's second realisation. 

Place, publisher, year, edition, pages
Elsevier B.V. , 2018. Vol. 928, p. 321-355
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-227411DOI: 10.1016/j.nuclphysb.2018.01.017ISI: 000426994900014Scopus ID: 2-s2.0-85044659787OAI: oai:DiVA.org:kth-227411DiVA, id: diva2:1210695
Note

Export Date: 9 May 2018; Article; CODEN: NUPBB; Correspondence Address: Borsato, R.; Nordita, Stockholm University, KTH Royal Institute of Technology, Roslagstullsbacken 23, Sweden; email: riccardo.borsato@su.se; Funding details: ITAMP, Institute for Theoretical Atomic, Molecular and Optical Physics, Harvard University; Funding details: 341222, Erciyes Üniversitesi; Funding details: INFN, Instituto Nazionale di Fisica Nucleare; Funding details: ST/L000490/1, STFC, Science and Technology Facilities Council; Funding text: We would like to thank Marius de Leeuw, Andrea Prinsloo, Alessandro Sfondrini and Bogdan Stefański for very useful insights and for encouragement. We thank Niklas Beisert, Reimar Hecht, Ben Hoare and Kostya Zarembo for invaluable discussions and several clarifications, and for detailed feedback on the manuscript. A.T. thanks Luis Miramontes for a discussion of [90] . The work of R.B. was supported by the ERC advanced grant No 341222 . A.T. thanks the STFC under the Consolidated Grant project nr. ST/L000490/1 . We also thank the Galileo Galilei Institute for Theoretical Physics (GGI) for the hospitality and INFN for partial support during the completion of this work, and within the program New Developments in A d S 3 / C F T 2 Holography . Appendix A. QC 20180529

Available from: 2018-05-29 Created: 2018-05-29 Last updated: 2018-05-29Bibliographically approved

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