Generalized global symmetries and holography

Understand

We study the holographic duals of four-dimensional field theories with 1-form global symmetries, both discrete and continuous.

• Such higher-form global symmetries are associated with antisymmetric tensor gauge fields in the bulk.
• Various different realizations are possible: we demonstrate that a Maxwell action for the bulk antisymmetric gauge field results in a non-conformal field theory with a marginally running double-trace coupling.
• We explore its hydrodynamic behavior at finite temperature and make contact with recent symmetry-based formulations of magnetohydrodynamics.