Monodromy Defects in Massive Type IIA

TL;DR

This paper constructs and analyzes supergravity solutions dual to monodromy defects in 6d and 5d CFTs, computes their entanglement entropy, and introduces new defect solutions in lower-dimensional theories.

Contribution

It provides explicit supergravity duals for monodromy defects in 6d and 5d CFTs and introduces new defect solutions in compactified theories.

Findings

Defect entanglement entropy relates linearly to free energy and conformal weight.

Constructed new co-dimension 2 monodromy defects in 6d and 5d CFTs.

Supergravity solutions confirm the holographic duality for these defects.

Abstract

In this paper we study solutions to massive Type IIA supergravity which we propose are dual to co-dimension 2 monodromy defects in 6d (1,0) CFTs realised in NS5-D6-D8 brane systems, as well as in the 5d Sp(N) fixed point theory. In the first case the defects are studied holographically as solutions to 7d $U(1)$ gauged supergravity that asymptote locally to its maximally supersymmetric $\text{AdS}_7$ vacuum away from the defects. In the second case they are dual to solutions to 6d $U(1)^2$ gauged supergravity that asymptote to its maximally supersymmetric $\text{AdS}_6$ vacuum. These solutions are then uplifted to massive Type IIA supergravity using known consistent truncations previously constructed in the literature. We compute the defect entanglement entropy and provide evidence that for the 3d defects, the entanglement entropy can be written as a linear combination of the free energy and conformal weight of the defect. Finally, we construct new co-dimension 2 monodromy defects in 6d and 5d CFTs compactified on Riemann surfaces and/or spindles.