2021/09/30 by Miao He, Song He, Yi-hong Gao · 13 citations
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Charge (physics) #Cosmology and Gravitation Theories #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #gr-qc #hep-th
paper · pdf · open access · doi:10.1007/jhep03(2022)044
published in Journal of High Energy Physics 2022(3) (Springer Nature) · 30 pages, v2: references added, v3: minor clarifications, matches published version
openalex publication_date 2022/03/01 · arxiv created 2022/03/07 · arxiv updated 2022/03/22 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/22
The TT deformed 2D CFTs correspond to AdS3 gravity with Dirichlet boundary condition at finite cutoff or equivalently a mixed boundary condition at spatial infinity. In this work, we use the latter perspective and Chern-Simons formalism of AdS3 gravity to construct the surface charges and associated algebra in TT deformed theories. Starting from the Bañados geometry, we obtain the Chern-Simons gauge fields for the TT deformed geometry, which are parametrized by two independent charges. With help of the mixed boundary condition, the residual gauge symmetries of the deformed gauge fields and the associated surface charges were obtained respectively. The charge algebra turns out to be a non-linear deformed Virasoro algebra, which was obtained in different way by applying the cutoff perspective. Finally, we propose a way to construct the time-independent charges from these surface charges and they satisfy the field-dependent Virasoro algebra.