B-type anomaly coefficients for the D3-D7 domain wall

TL;DR

This paper calculates B-type Weyl anomaly coefficients for non-supersymmetric D3-D7 domain wall systems in holography, providing insights into their conformal anomalies and energy-momentum tensor correlations.

Contribution

It introduces the first computation of B-type anomaly coefficients and displacement operator correlators for non-supersymmetric D3-D7 domain walls in holography.

Findings

Computed two-point functions of energy-momentum tensor and displacement operator.

Determined the b2 anomaly coefficient for both domain wall systems.

Provided perturbative results relevant for non-supersymmetric holographic models.

Abstract

We compute B-type Weyl anomaly coefficients for the two non-supersymmetric codimension-1 domain wall versions of N = 4 super Yang-Mills theory which are holographically dual to the D3-D7 probe-brane system. We compute the two-point function of the (improved) energy-momentum tensor in the presence of the domain wall, to leading order in perturbation theory. From it we determine the two-point function of the corresponding displacement operator and the b2 anomaly coefficient for both domain wall systems.