Strömwall, Joakim; Torrielli, Alessandro \({\mathrm{AdS}}_{3}/{\mathrm{CFT}}_{2}\) and \(q\)-Poincaré superalgebras. (English) Zbl 1352.81039 J. Phys. A, Math. Theor. 49, No. 43, Article ID 435402, 21 p. (2016). Summary: We discover that a certain deformation of the 1+1 dimensional Poincaré superalgebra is exactly realised in the massless sector of the \({\mathrm{AdS}}_{3}/{\mathrm{CFT}}_{2}\) integrable scattering problem. Deformed Poincaré superalgebras were previously noticed to appear in the \({\mathrm{AdS}}_{5}/{\mathrm{CFT}}_{4}\) correspondence – which displays only massive excitations, but they were there only a partial symmetry. We obtain a representation of the boost operator and its coproduct, and show that the comultiplication exactly satisfies the homomorphism property. We present a classical limit, and finally speculate on an analogy with the physics of phonons. Cited in 11 Documents MSC: 81R50 Quantum groups and related algebraic methods applied to problems in quantum theory 81T20 Quantum field theory on curved space or space-time backgrounds 81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics 17B37 Quantum groups (quantized enveloping algebras) and related deformations 17A70 Superalgebras Keywords:AdS/CFT; integrability; quantum groups PDFBibTeX XMLCite \textit{J. Strömwall} and \textit{A. Torrielli}, J. Phys. A, Math. Theor. 49, No. 43, Article ID 435402, 21 p. (2016; Zbl 1352.81039) Full Text: DOI arXiv