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A dynamic su(1|1)2 S-matrix for AdS3/CFT2

2012/11/30 by Riccardo Borsato, Olof Ohlsson Sax, Alessandro Sfondrini · 126 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Geometry #Mathematical physics #Mathematics #Matrix (chemical analysis) #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Scalar (mathematics) #Scattering #Spin (aerodynamics) #hep-th

paper · pdf · doi:10.1007/jhep04(2013)113

published in Journal of High Energy Physics 2013(4) (Springer Nature) · 41 pages, 4 figures. v2: corrected a misprint in appendix E, updated references, corrected some typos. v3: added a new appendix F with comparison to the literature, changed notation for the crossing equations, added references. Published version

openalex publication_date 2013/04/01 · arxiv created 2013/04/25 · arxiv updated 2015/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We derive the S-matrix for the d(2,1;alpha)2 symmetric spin-chain of AdS3/CFT2 by considering the centrally extended su(1|1)2 algebra acting on the spin-chain excitations. The S-matrix is determined uniquely up to four scalar factors, which are further constrained by a set of crossing relations. The resulting scattering includes non-trivial processes between magnons of different masses that were previously overlooked.

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