One-point functions for doubly-holographic BCFTs and backreacting defects

TL;DR

This paper derives one-point functions in 4d N=4 SYM with boundaries and defects hosting many degrees of freedom, using holography and localization, revealing new insights into doubly-holographic BCFTs with backreacted branes.

Contribution

It introduces a method to compute one-point functions in complex 4d SCFTs with large defect sectors using holography combined with localization techniques.

Findings

Explicit one-point functions for 4d chiral primaries in these setups.

Demonstration of double holography with backreacted 5-branes.

Insights into boundary and defect conformal field theories with large degrees of freedom.

Abstract

We derive one-point functions in 4d $\mathcal N=4$ SYM with $\tfrac{1}{2}$-BPS boundaries, defects and interfaces which host large numbers of defect degrees of freedom. The theories are engineered by Gaiotto-Witten D3/D5/NS5 brane setups with large numbers of D5 and NS5 branes, and have holographic duals with fully backreacted 5-branes. They include BCFTs with 3d SCFTs on the boundary which allow for the notion of double holography, as well as D3/D5 defects and interfaces with large numbers of D5-branes. Through a combination of supersymmetric localization and holography we derive one-point functions for 4d chiral primary operators.