AdS${}_2$ geometries and non-Abelian T-duality in non-compact spaces

Abstract

We obtain an AdS${}_2$ solution to Type IIA supergravity with 4 Poincare supersymmetries, via non-Abelian T-duality with respect to a freely acting SL(2,$\mathbf{R}$) isometry group, operating on the AdS${}_3\times$S${}^3\times$CY${}_2$ solution to Type IIB. That is, non-Abelian T-duality on AdS${}_3$. The dual background obtained fits in the class of AdS${}_2\times$S${}^3\times$CY${}_2$ 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.

30 pages, 6 figures, minor improvements

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Cited by in corpus (3)

• Line defects as brane boxes in Gaiotto-Maldacena geometries
• AdS${}_2$ near-horizons, defects and string dualities
• New AdS${}_3$/CFT${}_2$ pairs in massive IIA with $(0,4)$ and $(4,4)$ supersymmetries