2017/02/28 by Thiago Araujo, Ilya Bakhmatov, Eoin Ó Colgáin +3 · 2 citations
Physics and Astronomy · Mathematics · #hep-th #gr-qc #math-ph #math.MP #nlin.SI
paper · pdf · doi:10.1103/physrevd.95.105006
published as Phys. Rev. D 95, 105006 (2017) · 6 pages, no figure, v2: accepted in PRD, clarifications and references added. The title slightly changed
arxiv created 2017/05/14 · arxiv updated 2017/05/31
The Yang-Baxter σ-model is a systematic way to generate integrable deformations of AdS5×S5. We recast the deformations as seen by open strings, where the metric is undeformed AdS5×S5 with constant string coupling, and all information about the deformation is encoded in the noncommutative (NC) parameter Θ. We identify the deformations of AdS5 as twists of the conformal algebra, thus explaining the noncommutativity. We show that the unimodularity conditon on r-matrices for supergravity solutions translates into Θ being divergence-free. Integrability of the σ-model for unimodular r-matrices implies the existence and planar integrability of the dual NC gauge theory.