Holographic Surface Defects in $D=5$, $N=4$ Gauged Supergravity

TL;DR

This paper constructs and analyzes holographic surface defect solutions in five-dimensional N=4 gauged supergravity, demonstrating how adding a vector multiplet resolves singularities and computing related physical quantities.

Contribution

It introduces non-singular holographic surface defect solutions in D=5, N=4 gauged supergravity by incorporating a vector multiplet, extending previous singular solutions.

Findings

Pure Romans' gauged supergravity defect solutions are singular.

Adding a vector multiplet yields non-singular defect solutions.

Holographic renormalization computes on-shell action and operator one-point functions.

Abstract

Solutions describing holographic surface defects in $D=5,N=4$ gauged supergravity theories are constructed. It is shown that a surface defect solution in pure Romans' gauged supergravity is singular. Adding a single vector multiplet allows for the construction of a non-singular solution. The on-shell action and one point functions of operators in the presence of the defect are computed using holographic renormalization.