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

TL;DR

This paper constructs a new AdS$_2$ supergravity solution via non-Abelian T-duality on AdS$_3$, and proposes a dual quiver quantum mechanics model describing D-brane interactions.

Contribution

It introduces a novel AdS$_2$ solution in Type IIA supergravity obtained through non-Abelian T-duality on AdS$_3$, and explores its dual quantum mechanics.

Findings

New AdS$_2$ supergravity solution derived

Dual quiver quantum mechanics proposed

Insight into D-brane baryon vertex backreaction

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.