Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj)
Abstract We study the domain walls in hot 4-D SU(N) super Yang-Mills theory and QCD(adj), with n f Weyl flavors. We find that the k-wall worldvolume theory is 2-D QCD with gauge group SU(N − k) × SU(k) × U(1) and Dirac fermions charged under U(1) and transforming in the bi-fundamental representation...
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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 |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP05(2019)151 |
| _version_ | 1818239767472504832 |
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| author | Mohamed M. Anber Erich Poppitz |
| author_facet | Mohamed M. Anber Erich Poppitz |
| author_sort | Mohamed M. Anber |
| collection | DOAJ |
| description | Abstract We study the domain walls in hot 4-D SU(N) super Yang-Mills theory and QCD(adj), with n f Weyl flavors. We find that the k-wall worldvolume theory is 2-D QCD with gauge group SU(N − k) × SU(k) × U(1) and Dirac fermions charged under U(1) and transforming in the bi-fundamental representation of the nonabelian factors. We show that the DW theory has a 1-form ℤ N (1) center symmetry and a 0-form ℤ 2 N n f d χ $$ {\mathbb{Z}}_{2N{n}_f}^{d\chi } $$ discrete chiral symmetry, with a mixed ’t Hooft anomaly consistent with bulk/wall anomaly inflow. We argue that ℤ N (1) is broken on the wall, and hence, Wilson loops obey the perimeter law. The breaking of the worldvolume center symmetry implies that bulk p-strings can end on the wall, a phenomenon first discovered using string-theoretic constructions. We invoke 2-D bosonization and gauged Wess-Zumino-Witten models to suggest that ℤ 2 N n f d χ $$ {\mathbb{Z}}_{2N{n}_f}^{d\chi } $$ is also broken f in the IR, which implies that the 0-form/1-form mixed ’t Hooft anomaly in the gapped k-wall theory is saturated by a topological quantum field theory. We also find interesting parallels between the physics of high-temperature domain walls studied here and domain walls between chiral symmetry breaking vacua in the zero temperature phase of the theory (studied earlier in the semiclassically calculable small spatial circle regime), arising from the similar mode of saturation of the relevant ’t Hooft anomalies. |
| first_indexed | 2024-12-12T13:02:47Z |
| format | Article |
| id | doaj.art-26e1fc34448f471bba061220c081efbe |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-12T13:02:47Z |
| publishDate | 2019-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-26e1fc34448f471bba061220c081efbe2022-12-22T00:23:44ZengSpringerOpenJournal of High Energy Physics1029-84792019-05-012019513710.1007/JHEP05(2019)151Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj)Mohamed M. Anber0Erich Poppitz1Department of Physics, Lewi & Clark CollegeDepartment of Physics, University of TorontoAbstract We study the domain walls in hot 4-D SU(N) super Yang-Mills theory and QCD(adj), with n f Weyl flavors. We find that the k-wall worldvolume theory is 2-D QCD with gauge group SU(N − k) × SU(k) × U(1) and Dirac fermions charged under U(1) and transforming in the bi-fundamental representation of the nonabelian factors. We show that the DW theory has a 1-form ℤ N (1) center symmetry and a 0-form ℤ 2 N n f d χ $$ {\mathbb{Z}}_{2N{n}_f}^{d\chi } $$ discrete chiral symmetry, with a mixed ’t Hooft anomaly consistent with bulk/wall anomaly inflow. We argue that ℤ N (1) is broken on the wall, and hence, Wilson loops obey the perimeter law. The breaking of the worldvolume center symmetry implies that bulk p-strings can end on the wall, a phenomenon first discovered using string-theoretic constructions. We invoke 2-D bosonization and gauged Wess-Zumino-Witten models to suggest that ℤ 2 N n f d χ $$ {\mathbb{Z}}_{2N{n}_f}^{d\chi } $$ is also broken f in the IR, which implies that the 0-form/1-form mixed ’t Hooft anomaly in the gapped k-wall theory is saturated by a topological quantum field theory. We also find interesting parallels between the physics of high-temperature domain walls studied here and domain walls between chiral symmetry breaking vacua in the zero temperature phase of the theory (studied earlier in the semiclassically calculable small spatial circle regime), arising from the similar mode of saturation of the relevant ’t Hooft anomalies.http://link.springer.com/article/10.1007/JHEP05(2019)151Anomalies in Field and String TheoriesField Theories in Lower DimensionsSupersymmetric Gauge Theory |
| spellingShingle | Mohamed M. Anber Erich Poppitz Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj) Journal of High Energy Physics Anomalies in Field and String Theories Field Theories in Lower Dimensions Supersymmetric Gauge Theory |
| title | Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj) |
| title_full | Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj) |
| title_fullStr | Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj) |
| title_full_unstemmed | Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj) |
| title_short | Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj) |
| title_sort | domain walls in high t su n super yang mills theory and qcd adj |
| topic | Anomalies in Field and String Theories Field Theories in Lower Dimensions Supersymmetric Gauge Theory |
| url | http://link.springer.com/article/10.1007/JHEP05(2019)151 |
| work_keys_str_mv | AT mohamedmanber domainwallsinhightsunsuperyangmillstheoryandqcdadj AT erichpoppitz domainwallsinhightsunsuperyangmillstheoryandqcdadj |