Generalized global symmetries and holography
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 M...
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| Format: | Article |
| Language: | English |
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SciPost
2018-01-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.4.1.005 |
| _version_ | 1818437684366934016 |
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| author | Diego M. Hofman, Nabil Iqbal |
| author_facet | Diego M. Hofman, Nabil Iqbal |
| author_sort | Diego M. Hofman, Nabil Iqbal |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-14T17:28:35Z |
| format | Article |
| id | doaj.art-d95de2d2eadf4c88926f5ac62bf0db69 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-12-14T17:28:35Z |
| publishDate | 2018-01-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-d95de2d2eadf4c88926f5ac62bf0db692022-12-21T22:53:09ZengSciPostSciPost Physics2542-46532018-01-014100510.21468/SciPostPhys.4.1.005Generalized global symmetries and holographyDiego M. Hofman, Nabil IqbalWe 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.https://scipost.org/SciPostPhys.4.1.005 |
| spellingShingle | Diego M. Hofman, Nabil Iqbal Generalized global symmetries and holography SciPost Physics |
| title | Generalized global symmetries and holography |
| title_full | Generalized global symmetries and holography |
| title_fullStr | Generalized global symmetries and holography |
| title_full_unstemmed | Generalized global symmetries and holography |
| title_short | Generalized global symmetries and holography |
| title_sort | generalized global symmetries and holography |
| url | https://scipost.org/SciPostPhys.4.1.005 |
| work_keys_str_mv | AT diegomhofmannabiliqbal generalizedglobalsymmetriesandholography |