Superconformal Monodromy Defects in ABJM and mABJM Theory

TL;DR

This paper constructs and analyzes supergravity solutions dual to one-dimensional superconformal defects with monodromy in ABJM and mABJM theories, exploring their relations via RG flow and computing key physical observables.

Contribution

It introduces new supergravity solutions for superconformal defects with monodromy in ABJM and mABJM theories, revealing their connection through bulk marginal deformations and RG flow.

Findings

Defects are connected by a line of bulk marginal mass deformations.

Physical observables like conformal weight and partition function are computed.

Defects exhibit conical singularities at their location.

Abstract

We study $D=11$ supergravity solutions which are dual to one-dimensional superconformal defects in $d=3$ SCFTs. We consider defects in ABJM theory with monodromy for $U(1)^4\subset SO(8)$ global symmetry, as well as in $\mathcal{N}=2$ mABJM SCFT, which arises from the RG flow of a mass deformation of ABJM theory, with monodromy for $U(1)^3\subset SU(3)\times U(1)$ global symmetry. We show that the defects of the two SCFTs are connected by a line of bulk marginal mass deformations and argue that they are also related by bulk RG flow. In all cases we allow for the possibility of conical singularities at the location of the defect. Various physical observables of the defects are computed including the defects conformal weight and the partition function, as well as associated supersymmetric Renyi entropies.