Infinite-dimensional R-matrices for the relativistic scattering of massless modes on AdS₂

Juan Miguel Nieto García; Roberto Ruiz; Alessandro Torrielli

doi:10.48550/arxiv.2303.16108

Back

Preprint

Infinite-dimensional R-matrices for the relativistic scattering of massless modes on AdS₂

Juan Miguel Nieto García, Roberto Ruiz and Alessandro Torrielli

28/03/2023

DOI: https://doi.org/10.48550/arxiv.2303.16108

Abstract

Physics - High Energy Physics - Theory

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.

Metrics

41 Record Views

Details

Title: Infinite-dimensional R-matrices for the relativistic scattering of massless modes on AdS₂
Creators: Juan Miguel Nieto García
Roberto Ruiz
Alessandro Torrielli
Grants: EP/S020888/1, Engineering and Physical Sciences Research Council (United Kingdom, Swindon) - EPSRC
EXC 2121 “Quantum Universe”, 39083330, Deutsche Forschungsgemeinschaft (Germany, Bonn) - DFG
PGC2018-095382-B-I00, Universidad Complutense de Madrid (Spain, Madrid) - UCM
GR3/14-A 910770, Banco Santander (Spain, Santander)
PID2021-127726NB-I00, Ministry of Economy, Industry and Competitiveness (Spain, Madrid) - MINECO
CT42/18-CT43/18, Universidad Complutense de Madrid (Spain, Madrid) - UCM
CT18/22, Universidad Complutense de Madrid (Spain, Madrid) - UCM
Grant note: 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.
Identifiers: 99822509202346
Academic Unit: School of Maths and Physics
Language: English
Resource Type: Preprint

Infinite-dimensional R-matrices for the relativistic scattering of massless modes on AdS₂

Abstract

Metrics

Details

Usage Policy