AdS Branes Corresponding to Superconformal Defects

TL;DR

This paper constructs new AdS brane solutions corresponding to superconformal defects in gauge theories, demonstrating their supersymmetry properties and RG flow behavior in string theory backgrounds.

Contribution

It introduces novel AdS brane configurations with superconformal symmetry, including solutions with gauge flux and RG flow, expanding the understanding of defect conformal field theories in string theory.

Findings

Constructed AdS_4 x T^2 brane in AdS_5 x S^5 with supersymmetry

Derived brane solutions with non-trivial gauge flux

Analyzed RG flow between different defect configurations

Abstract

We investigate an AdS_4 x L_2 D5-brane in AdS_5 x X_5 space-time, in the context of AdS/dCFT correspondence. Here, X_5 is a Sasaki-Einstein manifold and L_2 is a submanifold of X_5. This brane has the same supersymmetry as the 3-dimensional N=1 superconformal symmetry if L_2 is a special Legendrian submanifold in X_5. In this case, this brane is supposed to correspond to a superconformal wall defect in 4-dimensional N=4 super Yang-Mills theory. We construct these new string backgrounds and show they have the correct supersymmetry, also in the case with non-trivial gauge flux on L_2. The simplest new example is AdS_4 x T^2 brane in AdS_5 x S^5. We construct the brane solution expressing the RG flow between two different defects. We also perform similar analysis for an AdS_3 x L_3 M5-brane in AdS_4 x X_7, for a weak G_2 manifold X_7 and its submanifold L_3. This system has the same supersymmetry as 2-dimensional N=(1,0) global superconformal symmetry, if L_3 is an associative submanifold.