Affiliation:
1. Institute of Physics, University of Amsterdam
2. Durham University
Abstract
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. We also argue that discrete global symmetries on
the boundary are dual to discrete gauge theories in the bulk. Such gauge
theories have a bulk Chern-Simons description: we clarify the
conventional 0-form case and work out the 1-form case. Depending on
boundary conditions, such discrete symmetries may be embedded in
continuous higher-form symmetries that are spontaneously broken. We
study the resulting boundary Goldstone mode, which in the 1-form case may be thought of as a boundary photon. Our results
clarify how the global form of the field theory gauge group is encoded
in holography. Finally, we study the interplay of Maxwell and
Chern-Simons terms put together. We work out the operator content and
demonstrate the existence of new backreacted anisotropic scaling
solutions that carry higher-form charge.
Funder
National Science Foundation
Nederlandse Organisatie voor Wetenschappelijk Onderzoek
Science and Technology Facilities Council
Subject
General Physics and Astronomy
Cited by
92 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献