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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 AdS₃, 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 AdS₂, 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.
Bielli et al. (Mon,) studied this question.
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