SQCD and pairs of pants
Abstract We show that the 4d N $$ \mathcal{N} $$ = 1 SU(3) N f = 6 SQCD is the model obtained when compactifying the rank one E-string theory on a three punctured sphere (a trinion) with a particular value of flux. The SU(6) × SU(6) × U(1) global symmetry of the theory, when decomposed into the SU(2...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP09(2020)028 |
| _version_ | 1830372783879618560 |
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| author | Shlomo S. Razamat Evyatar Sabag |
| author_facet | Shlomo S. Razamat Evyatar Sabag |
| author_sort | Shlomo S. Razamat |
| collection | DOAJ |
| description | Abstract We show that the 4d N $$ \mathcal{N} $$ = 1 SU(3) N f = 6 SQCD is the model obtained when compactifying the rank one E-string theory on a three punctured sphere (a trinion) with a particular value of flux. The SU(6) × SU(6) × U(1) global symmetry of the theory, when decomposed into the SU(2)3 × U(1)3 × SU(6) subgroup, corresponds to the three SU(2) symmetries associated to the three punctures and the U(1)3 × SU(6) subgroup of the E 8 symmetry of the E-string theory. All the puncture symmetries are manifest in the UV and thus we can construct ordinary Lagrangians flowing in the IR to any compactification of the E-string theory. We generalize this claim and argue that the N $$ \mathcal{N} $$ = 1 SU(N + 2) SQCD in the middle of the conformal window, N f = 2N + 4, is the theory obtained by compactifying the 6d minimal (D N +3 , D N +3) conformal matter SCFT on a sphere with two maximal SU(N + 1) punctures, one minimal SU(2) puncture, and with a particular value of flux. The SU(2N + 4) × SU(2N + 4) × U(1) symmetry of the UV Lagrangian decomposes into SU(N + 1)2 × SU(2) puncture symmetries and the U(1)3 × SU(2N + 4) subgroup of the SO(12 + 4N ) symmetry group of the 6d SCFT. The models constructed from the trinions exhibit a variety of interesting strong coupling effects. For example, one of the dualities arising geometrically from different pair-of-pants decompositions of a four punctured sphere is an SU(N + 2) generalization of the Intriligator-Pouliot duality of SU(2) SQCD with N f = 4, which is a degenerate, N = 0, instance of our discussion. |
| first_indexed | 2024-12-20T07:08:45Z |
| format | Article |
| id | doaj.art-50948bce655d49caa5b372777f3a4254 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T07:08:45Z |
| publishDate | 2020-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-50948bce655d49caa5b372777f3a42542022-12-21T19:48:56ZengSpringerOpenJournal of High Energy Physics1029-84792020-09-012020913710.1007/JHEP09(2020)028SQCD and pairs of pantsShlomo S. Razamat0Evyatar Sabag1Department of Physics, TechnionDepartment of Physics, TechnionAbstract We show that the 4d N $$ \mathcal{N} $$ = 1 SU(3) N f = 6 SQCD is the model obtained when compactifying the rank one E-string theory on a three punctured sphere (a trinion) with a particular value of flux. The SU(6) × SU(6) × U(1) global symmetry of the theory, when decomposed into the SU(2)3 × U(1)3 × SU(6) subgroup, corresponds to the three SU(2) symmetries associated to the three punctures and the U(1)3 × SU(6) subgroup of the E 8 symmetry of the E-string theory. All the puncture symmetries are manifest in the UV and thus we can construct ordinary Lagrangians flowing in the IR to any compactification of the E-string theory. We generalize this claim and argue that the N $$ \mathcal{N} $$ = 1 SU(N + 2) SQCD in the middle of the conformal window, N f = 2N + 4, is the theory obtained by compactifying the 6d minimal (D N +3 , D N +3) conformal matter SCFT on a sphere with two maximal SU(N + 1) punctures, one minimal SU(2) puncture, and with a particular value of flux. The SU(2N + 4) × SU(2N + 4) × U(1) symmetry of the UV Lagrangian decomposes into SU(N + 1)2 × SU(2) puncture symmetries and the U(1)3 × SU(2N + 4) subgroup of the SO(12 + 4N ) symmetry group of the 6d SCFT. The models constructed from the trinions exhibit a variety of interesting strong coupling effects. For example, one of the dualities arising geometrically from different pair-of-pants decompositions of a four punctured sphere is an SU(N + 2) generalization of the Intriligator-Pouliot duality of SU(2) SQCD with N f = 4, which is a degenerate, N = 0, instance of our discussion.http://link.springer.com/article/10.1007/JHEP09(2020)028Duality in Gauge Field TheoriesSupersymmetric Gauge TheorySupersymmetry and Duality |
| spellingShingle | Shlomo S. Razamat Evyatar Sabag SQCD and pairs of pants Journal of High Energy Physics Duality in Gauge Field Theories Supersymmetric Gauge Theory Supersymmetry and Duality |
| title | SQCD and pairs of pants |
| title_full | SQCD and pairs of pants |
| title_fullStr | SQCD and pairs of pants |
| title_full_unstemmed | SQCD and pairs of pants |
| title_short | SQCD and pairs of pants |
| title_sort | sqcd and pairs of pants |
| topic | Duality in Gauge Field Theories Supersymmetric Gauge Theory Supersymmetry and Duality |
| url | http://link.springer.com/article/10.1007/JHEP09(2020)028 |
| work_keys_str_mv | AT shlomosrazamat sqcdandpairsofpants AT evyatarsabag sqcdandpairsofpants |