Chiral gauge dynamics: candidates for non-supersymmetric dualities
Abstract We study the dynamics of chiral SU(N) gauge theories. These contain Weyl fermions in the symmetric or anti-symmetric representation of the gauge group, together with further fermions in the fundamental and anti-fundamental. We revisit an old proposal of Bars and Yankielowicz who match the ‘...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2022)122 |
| _version_ | 1797865777824530432 |
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| author | Avner Karasik Kaan Önder David Tong |
| author_facet | Avner Karasik Kaan Önder David Tong |
| author_sort | Avner Karasik |
| collection | DOAJ |
| description | Abstract We study the dynamics of chiral SU(N) gauge theories. These contain Weyl fermions in the symmetric or anti-symmetric representation of the gauge group, together with further fermions in the fundamental and anti-fundamental. We revisit an old proposal of Bars and Yankielowicz who match the ‘t Hooft anomalies of this theory to free fermions. We show that there are novel and, in some cases, quite powerful constraints on the dynamics in the large N limit. In addition, we study these SU(N) theories with an extra Weyl fermion transforming in the adjoint representation. Here we show that all 21 ‘t Hooft anomalies for global symmetries are matched with those of a Spin(8) gauge theory. This suggests a non-supersymmetric extension of the duality of Pouliot and Strassler. Finally, we also discuss some non-supersymmetric dualities with vector-like matter content for SO(N) and Sp(N) gauge theories and the constraints imposed by Weingarten inequalities. |
| first_indexed | 2024-04-09T23:13:38Z |
| format | Article |
| id | doaj.art-f6d06ed11da942f89afc726a25f38b7a |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T23:13:38Z |
| publishDate | 2022-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-f6d06ed11da942f89afc726a25f38b7a2023-03-22T10:15:45ZengSpringerOpenJournal of High Energy Physics1029-84792022-11-0120221114210.1007/JHEP11(2022)122Chiral gauge dynamics: candidates for non-supersymmetric dualitiesAvner Karasik0Kaan Önder1David Tong2Department of Applied Mathematics and Theoretical Physics, University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, University of CambridgeAbstract We study the dynamics of chiral SU(N) gauge theories. These contain Weyl fermions in the symmetric or anti-symmetric representation of the gauge group, together with further fermions in the fundamental and anti-fundamental. We revisit an old proposal of Bars and Yankielowicz who match the ‘t Hooft anomalies of this theory to free fermions. We show that there are novel and, in some cases, quite powerful constraints on the dynamics in the large N limit. In addition, we study these SU(N) theories with an extra Weyl fermion transforming in the adjoint representation. Here we show that all 21 ‘t Hooft anomalies for global symmetries are matched with those of a Spin(8) gauge theory. This suggests a non-supersymmetric extension of the duality of Pouliot and Strassler. Finally, we also discuss some non-supersymmetric dualities with vector-like matter content for SO(N) and Sp(N) gauge theories and the constraints imposed by Weingarten inequalities.https://doi.org/10.1007/JHEP11(2022)1221/N ExpansionDuality in Gauge Field Theories |
| spellingShingle | Avner Karasik Kaan Önder David Tong Chiral gauge dynamics: candidates for non-supersymmetric dualities Journal of High Energy Physics 1/N Expansion Duality in Gauge Field Theories |
| title | Chiral gauge dynamics: candidates for non-supersymmetric dualities |
| title_full | Chiral gauge dynamics: candidates for non-supersymmetric dualities |
| title_fullStr | Chiral gauge dynamics: candidates for non-supersymmetric dualities |
| title_full_unstemmed | Chiral gauge dynamics: candidates for non-supersymmetric dualities |
| title_short | Chiral gauge dynamics: candidates for non-supersymmetric dualities |
| title_sort | chiral gauge dynamics candidates for non supersymmetric dualities |
| topic | 1/N Expansion Duality in Gauge Field Theories |
| url | https://doi.org/10.1007/JHEP11(2022)122 |
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