Surveying 4d SCFTs twisted on Riemann surfaces
Abstract Within the framework of four dimensional conformal supergravity we consider N = 1 , 2 , 3 , 4 $$ \mathcal{N}=1,\;2,\;3,\;4 $$ supersymmetric theories generally twisted along the abelian subgroups of the R-symmetry and possibly other global symmetry groups. Upon compactification on constant...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP06(2017)056 |
| _version_ | 1819077670066978816 |
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| author | Antonio Amariti Luca Cassia Silvia Penati |
| author_facet | Antonio Amariti Luca Cassia Silvia Penati |
| author_sort | Antonio Amariti |
| collection | DOAJ |
| description | Abstract Within the framework of four dimensional conformal supergravity we consider N = 1 , 2 , 3 , 4 $$ \mathcal{N}=1,\;2,\;3,\;4 $$ supersymmetric theories generally twisted along the abelian subgroups of the R-symmetry and possibly other global symmetry groups. Upon compactification on constant curvature Riemann surfaces with arbitrary genus we provide an extensive classification of the resulting two dimensional theories according to the amount of supersymmetry that is preserved. Exploiting the c-extremization prescription introduced in arXiv:1211.4030 we develop a general procedure to obtain the central charge for 2d N = 0 2 $$ \mathcal{N}=\left(0,2\right) $$ theories and the expression of the corresponding R-current in terms of the original 4d one and its mixing with the other abelian global currents. |
| first_indexed | 2024-12-21T19:00:53Z |
| format | Article |
| id | doaj.art-8bbad7a5154641eda5ff12e845acd9e1 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-21T19:00:53Z |
| publishDate | 2017-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-8bbad7a5154641eda5ff12e845acd9e12022-12-21T18:53:29ZengSpringerOpenJournal of High Energy Physics1029-84792017-06-012017612810.1007/JHEP06(2017)056Surveying 4d SCFTs twisted on Riemann surfacesAntonio Amariti0Luca Cassia1Silvia Penati2Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of BernUniversità degli studi di Milano Bicocca and INFN, Sezione di Milano-BicoccaUniversità degli studi di Milano Bicocca and INFN, Sezione di Milano-BicoccaAbstract Within the framework of four dimensional conformal supergravity we consider N = 1 , 2 , 3 , 4 $$ \mathcal{N}=1,\;2,\;3,\;4 $$ supersymmetric theories generally twisted along the abelian subgroups of the R-symmetry and possibly other global symmetry groups. Upon compactification on constant curvature Riemann surfaces with arbitrary genus we provide an extensive classification of the resulting two dimensional theories according to the amount of supersymmetry that is preserved. Exploiting the c-extremization prescription introduced in arXiv:1211.4030 we develop a general procedure to obtain the central charge for 2d N = 0 2 $$ \mathcal{N}=\left(0,2\right) $$ theories and the expression of the corresponding R-current in terms of the original 4d one and its mixing with the other abelian global currents.http://link.springer.com/article/10.1007/JHEP06(2017)056Supergravity ModelsAnomalies in Field and String TheoriesExtended SupersymmetryConformal Field Theory |
| spellingShingle | Antonio Amariti Luca Cassia Silvia Penati Surveying 4d SCFTs twisted on Riemann surfaces Journal of High Energy Physics Supergravity Models Anomalies in Field and String Theories Extended Supersymmetry Conformal Field Theory |
| title | Surveying 4d SCFTs twisted on Riemann surfaces |
| title_full | Surveying 4d SCFTs twisted on Riemann surfaces |
| title_fullStr | Surveying 4d SCFTs twisted on Riemann surfaces |
| title_full_unstemmed | Surveying 4d SCFTs twisted on Riemann surfaces |
| title_short | Surveying 4d SCFTs twisted on Riemann surfaces |
| title_sort | surveying 4d scfts twisted on riemann surfaces |
| topic | Supergravity Models Anomalies in Field and String Theories Extended Supersymmetry Conformal Field Theory |
| url | http://link.springer.com/article/10.1007/JHEP06(2017)056 |
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