Abstract
We construct infinite-dimensional R-matrices that generalise the relativistic scattering of massless modes with the same chirality on AdS2 near the Berestein-Maldacena-Nastase vacuum. We show that the infrared limit of the R-matrices reproduces finite-dimensional scattering of massless modes on AdS2, from which the R-matrices borrow modified braiding unitary. We also prove that the R-matrices enjoy an infinite-dimensional symmetry superalgebra that embeds that of AdS2. Finally, we verify that the R-matrices are also invariant under crossing symmetry.
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Acknowledgments
The authors are grateful to Andrea Fontanella and Natalie A. Yager for comments on the manuscript. The work of J. M. N. G. has been supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy — EXC 2121 “Quantum Universe” — 39083330. The work of R. R. has been supported through the grant PGC2018-095382-B-I00, by the Universidad Complutense de Madrid (UCM) and Banco Santander through the grant GR3/14-A 910770, and by the Spanish MINECO grant PID2021-127726NB-I00. R. R. has been partially supported by UCM and Banco de Santander through the contract CT42/18-CT43/18, and partially supported by the UCM, Ministerio de Universidades, and the European Union - NextGenerationE through contract CT18/22. J. M. N. G. and R. R. are grateful to the Fields, Strings, and Geometry Group of Department of Mathematics of the University of Surrey for kind hospitality during the completion of this work. R. R. is grateful to the Integrable Quantum Dynamics Research Group of the Department of Theoretical Physics of Eötvös Lórand University for kind hospitality during the completion of this work. The work of A. T. has been supported by EPSRC-SFI under the grant EP/S020888/1 Solving Spins and Strings.
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García, J.M.N., Ruiz, R. & Torrielli, A. Infinite-dimensional R-matrices for the relativistic scattering of massless modes on AdS2. J. High Energ. Phys. 2023, 229 (2023). https://doi.org/10.1007/JHEP05(2023)229
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DOI: https://doi.org/10.1007/JHEP05(2023)229