AdS2_2 geometries and non-Abelian T-duality in non-compact spaces

preprint2021arXivOpen access

Abstract

We obtain an AdS2_{2} solution to Type IIA supergravity with 4 Poincare supersymmetries, via non-Abelian T-duality with respect to a freely acting SL(2,R\mathbf{R}) isometry group, operating on the AdS3×_3\timesS3×^3\timesCY2_2 solution to Type IIB. That is, non-Abelian T-duality on AdS3_3. The dual background obtained fits in the class of AdS2×_2\timesS3×^3\timesCY2_2 solutions to massive Type IIA constructed in [1]. We propose and study a quiver quantum mechanics dual to this solution that we interpret as describing the backreaction of the baryon vertex of a D4-D8 brane intersection.

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