String theory and the SymTFT of 3d orthosymplectic Chern-Simons theory

TL;DR

This paper explores the generalized symmetries of 3d orthosymplectic Chern-Simons theories with ${ m N}=5$ supersymmetry, deriving their symmetry topological field theories from gravity duals and analyzing boundary conditions and brane dynamics.

Contribution

It provides a novel derivation of the 4d symmetry topological field theory from gravity duals and links boundary conditions to different 3d theory variants, highlighting the role of brane dynamics.

Findings

Derived the 4d symmetry TFT from gravity duals.

Connected boundary conditions to 3d theory variants.

Explained the origin of non-abelian discrete symmetry from brane dynamics.

Abstract

We revisit the 3d ${\cal N}=5$ Chern-Simons-Matter theory with orthosymplectic gauge group and its gravity dual from the perspective of generalized symmetries. We derive the corresponding 4d symmetry topological field theory from the gravity dual and relate the allowed boundary conditions to the different variants of the 3d theory. Concentrating on a specific variant that has a discrete non-abelian global symmetry, we explain how the structure of this symmetry arises from brane dynamics.