Decoding a three-dimensional conformal manifold
Abstract We study the one-dimensional complex conformal manifold that controls the infrared dynamics of a three-dimensional N $$ \mathcal{N} $$ = 2 supersymmetric theory of three chiral superfields with a cubic superpotential. Two special points on this conformal manifold are the well-known XYZ mode...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP02(2018)062 |
| _version_ | 1818501862393905152 |
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| author | Marco Baggio Nikolay Bobev Shai M. Chester Edoardo Lauria Silviu S. Pufu |
| author_facet | Marco Baggio Nikolay Bobev Shai M. Chester Edoardo Lauria Silviu S. Pufu |
| author_sort | Marco Baggio |
| collection | DOAJ |
| description | Abstract We study the one-dimensional complex conformal manifold that controls the infrared dynamics of a three-dimensional N $$ \mathcal{N} $$ = 2 supersymmetric theory of three chiral superfields with a cubic superpotential. Two special points on this conformal manifold are the well-known XYZ model and three decoupled copies of the critical Wess-Zumino model. The conformal manifold enjoys a discrete duality group isomorphic to S 4 and can be thought of as an orbifold of CP 1. We use the 4 − ε expansion and the numerical conformal bootstrap to calculate the spectrum of conformal dimensions of low-lying operators and their OPE coefficients, and find a very good quantitative agreement between the two approaches. |
| first_indexed | 2024-12-10T21:02:08Z |
| format | Article |
| id | doaj.art-0149f89a746443c79daa0cada7f4521e |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-10T21:02:08Z |
| publishDate | 2018-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-0149f89a746443c79daa0cada7f4521e2022-12-22T01:33:46ZengSpringerOpenJournal of High Energy Physics1029-84792018-02-012018215710.1007/JHEP02(2018)062Decoding a three-dimensional conformal manifoldMarco Baggio0Nikolay Bobev1Shai M. Chester2Edoardo Lauria3Silviu S. Pufu4Instituut voor Theoretische Fysica, KU LeuvenInstituut voor Theoretische Fysica, KU LeuvenJoseph Henry Laboratories, Princeton UniversityInstituut voor Theoretische Fysica, KU LeuvenJoseph Henry Laboratories, Princeton UniversityAbstract We study the one-dimensional complex conformal manifold that controls the infrared dynamics of a three-dimensional N $$ \mathcal{N} $$ = 2 supersymmetric theory of three chiral superfields with a cubic superpotential. Two special points on this conformal manifold are the well-known XYZ model and three decoupled copies of the critical Wess-Zumino model. The conformal manifold enjoys a discrete duality group isomorphic to S 4 and can be thought of as an orbifold of CP 1. We use the 4 − ε expansion and the numerical conformal bootstrap to calculate the spectrum of conformal dimensions of low-lying operators and their OPE coefficients, and find a very good quantitative agreement between the two approaches.http://link.springer.com/article/10.1007/JHEP02(2018)062Conformal Field TheorySupersymmetric Gauge Theory |
| spellingShingle | Marco Baggio Nikolay Bobev Shai M. Chester Edoardo Lauria Silviu S. Pufu Decoding a three-dimensional conformal manifold Journal of High Energy Physics Conformal Field Theory Supersymmetric Gauge Theory |
| title | Decoding a three-dimensional conformal manifold |
| title_full | Decoding a three-dimensional conformal manifold |
| title_fullStr | Decoding a three-dimensional conformal manifold |
| title_full_unstemmed | Decoding a three-dimensional conformal manifold |
| title_short | Decoding a three-dimensional conformal manifold |
| title_sort | decoding a three dimensional conformal manifold |
| topic | Conformal Field Theory Supersymmetric Gauge Theory |
| url | http://link.springer.com/article/10.1007/JHEP02(2018)062 |
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