2017/11/30 by Riccardo Borsato, Joakim Strömwall, Алессандро Торриелли +1 · 8 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Invariant (physics) #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Particle physics #Physics #Pure mathematics #hep-th
paper · pdf · doi:10.1103/physrevd.97.066001
published in Physical review. D/Physical review. D. 97(6) (American Physical Society) · 26 pages. Minor improvements and references added. Published version
openalex created_date 2017/11/17 · openalex publication_date 2018/03/07 · arxiv created 2018/04/03 · arxiv updated 2018/04/04 · openalex updated_date 2026/08/06
We consider the exact R-matrix of AdS3/CFT2, which is the building block for describing the scattering of worldsheet excitations of the light-cone gauge-fixed backgrounds AdS3\ifmmode×\else\texttimes\fiS3\ifmmode×\else\texttimes\fiT4 and AdS3\ifmmode×\else\texttimes\fiS3\ifmmode×\else\texttimes\fiS3\ifmmode×\else\texttimes\fiS1 with pure Ramond-Ramond fluxes. We show that R is invariant under a ``deformed boost'' symmetry, for which we write an explicit exact coproduct, i.e. its action on two-particle states. When we include the boost, the symmetries of the R-matrix close into a q-Poincar'e superalgebra. Our findings suggest that the recently discovered boost invariance in AdS5/CFT4 may be a common feature of AdS/CFT systems that are treatable with the exact techniques of integrability. With the aim of going towards a universal formulation of the underlying Hopf algebra, we also propose a universal form of the AdS3/CFT2 classical r-matrix.