2-group global symmetries, hydrodynamics and holography
2-group global symmetries are a particular example of how higher-form and conventional global symmetries can fuse together into a larger structure. We construct a theory of hydrodynamics describing the finite-temperature realization of a 2-group global symmetry composed out of $U(1)$ zero-form and $...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SciPost
2023-08-01
|
| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.15.2.063 |
| _version_ | 1797742363926331392 |
|---|---|
| author | Nabil Iqbal, Napat Poovuttikul |
| author_facet | Nabil Iqbal, Napat Poovuttikul |
| author_sort | Nabil Iqbal, Napat Poovuttikul |
| collection | DOAJ |
| description | 2-group global symmetries are a particular example of how higher-form and conventional global symmetries can fuse together into a larger structure. We construct a theory of hydrodynamics describing the finite-temperature realization of a 2-group global symmetry composed out of $U(1)$ zero-form and $U(1)$ one-form symmetries. We study aspects of the thermodynamics from a Euclidean partition function and derive constitutive relations for ideal hydrodynamics from various points of view. Novel features of the resulting theory include an analogue of the chiral magnetic effect and a chiral sound mode propagating along magnetic field lines. We also discuss a minimalist holographic description of a theory dual to 2-group global symmetry and verify predictions from hydrodynamic descriptions. Along the way we clarify some aspects of symmetry breaking in higher-form theories at finite temperature. |
| first_indexed | 2024-03-12T14:39:48Z |
| format | Article |
| id | doaj.art-233110658b6c408196b5ed398518a96f |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-03-12T14:39:48Z |
| publishDate | 2023-08-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-233110658b6c408196b5ed398518a96f2023-08-16T10:56:35ZengSciPostSciPost Physics2542-46532023-08-0115206310.21468/SciPostPhys.15.2.0632-group global symmetries, hydrodynamics and holographyNabil Iqbal, Napat Poovuttikul2-group global symmetries are a particular example of how higher-form and conventional global symmetries can fuse together into a larger structure. We construct a theory of hydrodynamics describing the finite-temperature realization of a 2-group global symmetry composed out of $U(1)$ zero-form and $U(1)$ one-form symmetries. We study aspects of the thermodynamics from a Euclidean partition function and derive constitutive relations for ideal hydrodynamics from various points of view. Novel features of the resulting theory include an analogue of the chiral magnetic effect and a chiral sound mode propagating along magnetic field lines. We also discuss a minimalist holographic description of a theory dual to 2-group global symmetry and verify predictions from hydrodynamic descriptions. Along the way we clarify some aspects of symmetry breaking in higher-form theories at finite temperature.https://scipost.org/SciPostPhys.15.2.063 |
| spellingShingle | Nabil Iqbal, Napat Poovuttikul 2-group global symmetries, hydrodynamics and holography SciPost Physics |
| title | 2-group global symmetries, hydrodynamics and holography |
| title_full | 2-group global symmetries, hydrodynamics and holography |
| title_fullStr | 2-group global symmetries, hydrodynamics and holography |
| title_full_unstemmed | 2-group global symmetries, hydrodynamics and holography |
| title_short | 2-group global symmetries, hydrodynamics and holography |
| title_sort | 2 group global symmetries hydrodynamics and holography |
| url | https://scipost.org/SciPostPhys.15.2.063 |
| work_keys_str_mv | AT nabiliqbalnapatpoovuttikul 2groupglobalsymmetrieshydrodynamicsandholography |