{ "id": "2404.10041", "version": "v1", "published": "2024-04-15T18:00:02.000Z", "updated": "2024-04-15T18:00:02.000Z", "title": "JT gravity from non-Abelian T-duality", "authors": [ "Daniele Bielli", "Silvia Penati", "Anayeli Ramirez" ], "comment": "20 pages + appendices", "categories": [ "hep-th" ], "abstract": "We study the geometries obtained by performing super non-Abelian T-duality of the Principal Chiral Model on OSp$(1|2)$. While the initial model represents an appropriate 3D supergravity background, interpretable as the superspace version of AdS$_{3}$, the T-dual model fails solving the 3D supergravity torsion constraints. We argue that this has to do with a factorisation pattern taking place under dualisation: the dual 3D geometry can be rewritten as the supersymmetric version of AdS$_{2}$, satisfying the supergravity constraints, fibered over what we interpret as the superspace equivalent of the standard bosonic line. We discuss an interesting connection between T-duals of generic Principal Chiral Models and Poisson sigma models. We exploit it to show that in a suitable limit the dual action studied in this work gives rise to JT (super)gravity.", "revisions": [ { "version": "v1", "updated": "2024-04-15T18:00:02.000Z" } ], "analyses": { "keywords": [ "jt gravity", "3d supergravity torsion constraints", "generic principal chiral models", "appropriate 3d supergravity background", "poisson sigma models" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable" } } }