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arXiv · 2404.10041

JT gravity from non-Abelian T-duality

Daniele Bielli·Silvia Penati·Anayeli Ramirez
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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.

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Daniele Bielli, Silvia Penati, Anayeli Ramirez. 2024-04-15. JT gravity from non-Abelian T-duality. https://arxiv.org/abs/2404.10041

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