Symmetries, universes and phases of QCD2 with an adjoint Dirac fermion
Abstract We study 2d SU(N) QCD with an adjoint Dirac fermion. Assuming that the IR limit of the massless theory is captured by a WZW coset CFT, we show that this CFT can be decomposed into a sum of distinct CFTs, each representing a superselection sector (universe) of the gauge theory corresponding...
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| Format: | Article |
| Language: | English |
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2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)230 |
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| author | Jeremias Aguilera Damia Giovanni Galati Luigi Tizzano |
| author_facet | Jeremias Aguilera Damia Giovanni Galati Luigi Tizzano |
| author_sort | Jeremias Aguilera Damia |
| collection | DOAJ |
| description | Abstract We study 2d SU(N) QCD with an adjoint Dirac fermion. Assuming that the IR limit of the massless theory is captured by a WZW coset CFT, we show that this CFT can be decomposed into a sum of distinct CFTs, each representing a superselection sector (universe) of the gauge theory corresponding to different flux tube sectors. The CFTs describing each universe are related by non-invertible topological lines that exhibit a mixed anomaly with the ℤ N 1 $$ {\mathbb{Z}}_N^{(1)} $$ 1-form symmetry. These symmetries exists along the entire RG flow thereby implying deconfinement of the massless theory. We begin by outlining the general features of the model for arbitrary N and then provide a detailed analysis for N = 2 and N = 3. In these specific cases, we explicitly determine the IR partition function, identify the symmetries, and explore relevant deformations. Based on these findings and in alignment with various previous studies, we propose a phase diagram for the massive SU(2) gauge theory and calculate its confining string tension. |
| format | Article |
| id | doaj-art-e1f9ea43e7cf473db51f1bc1b5cb8a27 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-e1f9ea43e7cf473db51f1bc1b5cb8a272025-01-12T12:05:46ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241214810.1007/JHEP12(2024)230Symmetries, universes and phases of QCD2 with an adjoint Dirac fermionJeremias Aguilera Damia0Giovanni Galati1Luigi Tizzano2Physique Théorique et Mathématique and International Solvay Institutes, Université Libre de BruxellesPhysique Théorique et Mathématique and International Solvay Institutes, Université Libre de BruxellesPhysique Théorique et Mathématique and International Solvay Institutes, Université Libre de BruxellesAbstract We study 2d SU(N) QCD with an adjoint Dirac fermion. Assuming that the IR limit of the massless theory is captured by a WZW coset CFT, we show that this CFT can be decomposed into a sum of distinct CFTs, each representing a superselection sector (universe) of the gauge theory corresponding to different flux tube sectors. The CFTs describing each universe are related by non-invertible topological lines that exhibit a mixed anomaly with the ℤ N 1 $$ {\mathbb{Z}}_N^{(1)} $$ 1-form symmetry. These symmetries exists along the entire RG flow thereby implying deconfinement of the massless theory. We begin by outlining the general features of the model for arbitrary N and then provide a detailed analysis for N = 2 and N = 3. In these specific cases, we explicitly determine the IR partition function, identify the symmetries, and explore relevant deformations. Based on these findings and in alignment with various previous studies, we propose a phase diagram for the massive SU(2) gauge theory and calculate its confining string tension.https://doi.org/10.1007/JHEP12(2024)230ConfinementConformal and W SymmetryField Theories in Lower DimensionsGlobal Symmetries |
| spellingShingle | Jeremias Aguilera Damia Giovanni Galati Luigi Tizzano Symmetries, universes and phases of QCD2 with an adjoint Dirac fermion Journal of High Energy Physics Confinement Conformal and W Symmetry Field Theories in Lower Dimensions Global Symmetries |
| title | Symmetries, universes and phases of QCD2 with an adjoint Dirac fermion |
| title_full | Symmetries, universes and phases of QCD2 with an adjoint Dirac fermion |
| title_fullStr | Symmetries, universes and phases of QCD2 with an adjoint Dirac fermion |
| title_full_unstemmed | Symmetries, universes and phases of QCD2 with an adjoint Dirac fermion |
| title_short | Symmetries, universes and phases of QCD2 with an adjoint Dirac fermion |
| title_sort | symmetries universes and phases of qcd2 with an adjoint dirac fermion |
| topic | Confinement Conformal and W Symmetry Field Theories in Lower Dimensions Global Symmetries |
| url | https://doi.org/10.1007/JHEP12(2024)230 |
| work_keys_str_mv | AT jeremiasaguileradamia symmetriesuniversesandphasesofqcd2withanadjointdiracfermion AT giovannigalati symmetriesuniversesandphasesofqcd2withanadjointdiracfermion AT luigitizzano symmetriesuniversesandphasesofqcd2withanadjointdiracfermion |