Supergravity Solution of Intersecting Branes and AdS/CFT with Flavor

TL;DR

The authors construct a fully localized supergravity solution for intersecting D2 and D6 branes, enabling a complete backreacted holographic dual to 2+1 dimensional SUSY YM with fundamental matter. By taking a near-horizon, decoupling limit, they obtain a Type IIA background that encodes the RG flow from a UV free-gluon regime to an IR superconformal fixed point described by $AdS_4\times S^7/\mathbb{Z}_k$, and they use this to realize mirror symmetry within AdS/CFT, including a dual description via a $\mathbb{Z}_k$ quiver theory. They also present a holographic dual for a non-commutative gauge theory with flavor, and discuss several generalizations, such as separating the D2/D6 stacks or considering multi-centered Taub-NUT geometries. Overall, the work provides a conceptually clean, backreacted framework for AdS/CFT with flavors in 2+1 dimensions and illuminates the UV origins of mirror symmetry via defect theories and S-duality.

Abstract

We construct the supergravity solution for fully localized D2/D6 intersection. The near horizon limit of this solution is the supergravity dual of supersymmetric Yang-Mills theory in 2+1 dimensions with flavor. We use this solution to formulate mirror symmetry of 2+1 dimensional gauge theories in the language of AdS/CFT correspondence. We also construct the supergravity dual of a non-commutative gauge theory with fundamental matter.

Figures (2)

• Figure 1: Log-Log plot of the function $f(r)$.
• Figure 2: Contours of fixed prolate spheroidal coordinates $\xi$ and $\eta$.