2015/06/30 by Stijn J. van Tongeren
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dual polyhedron #Gauge theory #Mathematical physics #Mathematics #Minkowski space #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Physics #Pure mathematics #String theory #Theoretical physics #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2016.01.012
published as Nuclear Physics B 904, 148-175 (2016) · v5, published version up to formatting, 32 pages
openalex publication_date 2016/01/14 · arxiv created 2016/01/25 · arxiv updated 2016/01/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We give an AdS/CFT interpretation to homogeneous Yang–Baxter deformations of the AdS5×S5 superstring as noncommutative deformations of the dual gauge theory, going well beyond the canonical noncommutative case. These homogeneous Yang–Baxter deformations can be of so-called abelian or jordanian type. While abelian deformations have a clear interpretation in string theory and many already had well understood gauge theory duals, jordanian deformations appear novel on both counts. We discuss the symmetry structure of the deformed string from the uniformizing perspective of Drinfeld twists and indicate that this structure can be realized on the gauge theory side by considering theories on various noncommutative spaces. We then conjecture that these are the gauge theory duals of our strings, modulo subtleties involving singularities. We support this conjecture by a brane construction for two jordanian examples, corresponding to noncommutative spaces with [x−,⋆xi]∼xi (i=1,2). We also discuss κ-Minkowski type deformations of AdS5×S5, one of which may be the gravity dual of gauge theory on spacelike κ-Minkowski space.