The bi-fundamental gauge theory in 3+1 dimensions: the vacuum structure and a cascade
Abstract We study the phases of the SU(N 1) × SU(N 2) gauge theory with a bifundamental fermion in 3+1 dimensions. We show that the discrete anomalies and Berry phases associated to the one-form symmetry of the theory allow for several topologically distinct phase diagrams. We identify several limit...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-05-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP05(2019)144 |
| _version_ | 1818318727473528832 |
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| author | Avner Karasik Zohar Komargodski |
| author_facet | Avner Karasik Zohar Komargodski |
| author_sort | Avner Karasik |
| collection | DOAJ |
| description | Abstract We study the phases of the SU(N 1) × SU(N 2) gauge theory with a bifundamental fermion in 3+1 dimensions. We show that the discrete anomalies and Berry phases associated to the one-form symmetry of the theory allow for several topologically distinct phase diagrams. We identify several limits of the theory where the phase diagram can be determined using various controlled approximations. When the two ranks are equal N 1 = N 2, these limits all lead to the same topology for the phase diagram and provide a consistent global understanding of the phases of the theory. When N 1 ≠ N 2, different limits lead to distinct topologies of the phase diagram. This necessarily implies non-trivial physics at some intermediate regimes of parameter space. In the large N 1,2 limit, we argue that the topological transitions are accounted for by a (non-supersymmetric) duality cascade as one varies the parameters of the theory. |
| first_indexed | 2024-12-13T09:57:49Z |
| format | Article |
| id | doaj.art-56ca56c727b64021b5aa79c5e3a7bd5f |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-13T09:57:49Z |
| publishDate | 2019-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-56ca56c727b64021b5aa79c5e3a7bd5f2022-12-21T23:51:45ZengSpringerOpenJournal of High Energy Physics1029-84792019-05-012019514310.1007/JHEP05(2019)144The bi-fundamental gauge theory in 3+1 dimensions: the vacuum structure and a cascadeAvner Karasik0Zohar Komargodski1Weizmann Institute of ScienceWeizmann Institute of ScienceAbstract We study the phases of the SU(N 1) × SU(N 2) gauge theory with a bifundamental fermion in 3+1 dimensions. We show that the discrete anomalies and Berry phases associated to the one-form symmetry of the theory allow for several topologically distinct phase diagrams. We identify several limits of the theory where the phase diagram can be determined using various controlled approximations. When the two ranks are equal N 1 = N 2, these limits all lead to the same topology for the phase diagram and provide a consistent global understanding of the phases of the theory. When N 1 ≠ N 2, different limits lead to distinct topologies of the phase diagram. This necessarily implies non-trivial physics at some intermediate regimes of parameter space. In the large N 1,2 limit, we argue that the topological transitions are accounted for by a (non-supersymmetric) duality cascade as one varies the parameters of the theory.http://link.springer.com/article/10.1007/JHEP05(2019)144Phase Diagram of QCD1/N ExpansionDuality in Gauge Field TheoriesAnomalies in Field and String Theories |
| spellingShingle | Avner Karasik Zohar Komargodski The bi-fundamental gauge theory in 3+1 dimensions: the vacuum structure and a cascade Journal of High Energy Physics Phase Diagram of QCD 1/N Expansion Duality in Gauge Field Theories Anomalies in Field and String Theories |
| title | The bi-fundamental gauge theory in 3+1 dimensions: the vacuum structure and a cascade |
| title_full | The bi-fundamental gauge theory in 3+1 dimensions: the vacuum structure and a cascade |
| title_fullStr | The bi-fundamental gauge theory in 3+1 dimensions: the vacuum structure and a cascade |
| title_full_unstemmed | The bi-fundamental gauge theory in 3+1 dimensions: the vacuum structure and a cascade |
| title_short | The bi-fundamental gauge theory in 3+1 dimensions: the vacuum structure and a cascade |
| title_sort | bi fundamental gauge theory in 3 1 dimensions the vacuum structure and a cascade |
| topic | Phase Diagram of QCD 1/N Expansion Duality in Gauge Field Theories Anomalies in Field and String Theories |
| url | http://link.springer.com/article/10.1007/JHEP05(2019)144 |
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