A nilpotency index of conformal manifolds
Abstract We show that exactly marginal operators of Supersymmetric Conformal Field Theories (SCFTs) with four supercharges cannot obtain a vacuum expectation value at a generic point on the conformal manifold. Exactly marginal operators are therefore nilpotent in the chiral ring. This allows us to a...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP10(2020)183 |
| _version_ | 1828834555698610176 |
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| author | Zohar Komargodski Shlomo S. Razamat Orr Sela Adar Sharon |
| author_facet | Zohar Komargodski Shlomo S. Razamat Orr Sela Adar Sharon |
| author_sort | Zohar Komargodski |
| collection | DOAJ |
| description | Abstract We show that exactly marginal operators of Supersymmetric Conformal Field Theories (SCFTs) with four supercharges cannot obtain a vacuum expectation value at a generic point on the conformal manifold. Exactly marginal operators are therefore nilpotent in the chiral ring. This allows us to associate an integer to the conformal manifold, which we call the nilpotency index of the conformal manifold. We discuss several examples in diverse dimensions where we demonstrate these facts and compute the nilpotency index. |
| first_indexed | 2024-12-12T17:41:52Z |
| format | Article |
| id | doaj.art-56f0104ae7dd46faa48affd077b4e8ec |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-12T17:41:52Z |
| publishDate | 2020-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-56f0104ae7dd46faa48affd077b4e8ec2022-12-22T00:17:03ZengSpringerOpenJournal of High Energy Physics1029-84792020-10-0120201012110.1007/JHEP10(2020)183A nilpotency index of conformal manifoldsZohar Komargodski0Shlomo S. Razamat1Orr Sela2Adar Sharon3Simons Center for Geometry and PhysicsDepartment of Physics, TechnionDepartment of Physics, TechnionDepartment of Particle Physics and Astrophysics, Weizmann Institute of ScienceAbstract We show that exactly marginal operators of Supersymmetric Conformal Field Theories (SCFTs) with four supercharges cannot obtain a vacuum expectation value at a generic point on the conformal manifold. Exactly marginal operators are therefore nilpotent in the chiral ring. This allows us to associate an integer to the conformal manifold, which we call the nilpotency index of the conformal manifold. We discuss several examples in diverse dimensions where we demonstrate these facts and compute the nilpotency index.http://link.springer.com/article/10.1007/JHEP10(2020)183Conformal Field TheorySupersymmetric Gauge Theory |
| spellingShingle | Zohar Komargodski Shlomo S. Razamat Orr Sela Adar Sharon A nilpotency index of conformal manifolds Journal of High Energy Physics Conformal Field Theory Supersymmetric Gauge Theory |
| title | A nilpotency index of conformal manifolds |
| title_full | A nilpotency index of conformal manifolds |
| title_fullStr | A nilpotency index of conformal manifolds |
| title_full_unstemmed | A nilpotency index of conformal manifolds |
| title_short | A nilpotency index of conformal manifolds |
| title_sort | nilpotency index of conformal manifolds |
| topic | Conformal Field Theory Supersymmetric Gauge Theory |
| url | http://link.springer.com/article/10.1007/JHEP10(2020)183 |
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