Holography of a novel codimension-2 defect CFT

TL;DR

This paper introduces a new holographic duality for a non-supersymmetric defect conformal field theory, realized by a novel D5 brane solution in AdS5×S5, and confirms its stability and consistency through detailed calculations at strong and weak coupling.

Contribution

It presents a new stable D5 brane configuration in AdS5×S5 that models a non-supersymmetric defect CFT and demonstrates agreement of physical quantities at different coupling regimes.

Findings

Stable D5 brane configuration with specific flux and symmetry

Agreement of one-point functions at weak and strong coupling

Extraction of a Weyl anomaly coefficient

Abstract

We propose and study a new holographic duality between a non-supersymmetric defect conformal field theory (dCFT) and its gravity dual. On the gravity side, the defect is realised by a novel solution of a D5 probe brane embedded in the $AdS_5\times S^5$ geometry. The D5 brane wraps an $S^2\subset S^5$ and accommodates $k$ units of flux through the $S^2$. The symmetry of the induced on the brane metric is $AdS_3\times S^1\times S^2$. The brane ends on an $\mathbb{R}^{(1,1)}$ subspace of the 4-dimensional $AdS_5$ boundary resulting to a codimension-2 defect. We first prove that our brane configuration is stable by showing that the masses of all the fluctuations of the transverse to the brane coordinates respect the B-F bound. On the field theory side, the 2-dimensional defect is described by a classical solution whose precise form we determine. Subsequently, we calculate the one-point functions of the energy-momentum tensor and of the chiral primary operators (CPOs), first at strong and then at weak coupling. In an appropriate limit, we find compelling agreement between the weak and strong coupling results. Furthermore, we also extract one of the B-type Weyl anomaly coefficients.