Analytic continuation of dimensions in supersymmetric localization
Abstract We compute the perturbative partition functions for gauge theories with eight supersymmetries on spheres of dimension d ≤ 5, proving a conjecture by the second author. We apply similar methods to gauge theories with four supersymmetries on spheres with d ≤ 3. The results are valid for non-i...
| 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)070 |
| _version_ | 1818537232316760064 |
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| author | Anastasios Gorantis Joseph A. Minahan Usman Naseer |
| author_facet | Anastasios Gorantis Joseph A. Minahan Usman Naseer |
| author_sort | Anastasios Gorantis |
| collection | DOAJ |
| description | Abstract We compute the perturbative partition functions for gauge theories with eight supersymmetries on spheres of dimension d ≤ 5, proving a conjecture by the second author. We apply similar methods to gauge theories with four supersymmetries on spheres with d ≤ 3. The results are valid for non-integer d as well. We further propose an analytic continuation from d = 3 to d = 4 that gives the perturbative partition function for an N $$ \mathcal{N} $$ =1 gauge theory. The results are consistent with the free multiplets and the one-loop β-functions for general N $$ \mathcal{N} $$ = 1 gauge theories. We also consider the analytic continuation of an N $$ \mathcal{N} $$ = 1 preserving mass deformation of the maximally supersymmetric gauge theory and compare to recent holographic results for N $$ \mathcal{N} $$ = 1∗ super Yang-Mills. We find that the general structure for the real part of the free energy coming from the analytic continuation is consistent with the holographic results. |
| first_indexed | 2024-12-11T18:48:07Z |
| format | Article |
| id | doaj.art-d2b8c5f1e52542b18f1e0c90eadbbdce |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T18:48:07Z |
| publishDate | 2018-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-d2b8c5f1e52542b18f1e0c90eadbbdce2022-12-22T00:54:24ZengSpringerOpenJournal of High Energy Physics1029-84792018-02-012018214910.1007/JHEP02(2018)070Analytic continuation of dimensions in supersymmetric localizationAnastasios Gorantis0Joseph A. Minahan1Usman Naseer2Department of Physics and Astronomy, Uppsala UniversityDepartment of Physics and Astronomy, Uppsala UniversityCenter for Theoretical Physics, Massachusetts Institute of TechnologyAbstract We compute the perturbative partition functions for gauge theories with eight supersymmetries on spheres of dimension d ≤ 5, proving a conjecture by the second author. We apply similar methods to gauge theories with four supersymmetries on spheres with d ≤ 3. The results are valid for non-integer d as well. We further propose an analytic continuation from d = 3 to d = 4 that gives the perturbative partition function for an N $$ \mathcal{N} $$ =1 gauge theory. The results are consistent with the free multiplets and the one-loop β-functions for general N $$ \mathcal{N} $$ = 1 gauge theories. We also consider the analytic continuation of an N $$ \mathcal{N} $$ = 1 preserving mass deformation of the maximally supersymmetric gauge theory and compare to recent holographic results for N $$ \mathcal{N} $$ = 1∗ super Yang-Mills. We find that the general structure for the real part of the free energy coming from the analytic continuation is consistent with the holographic results.http://link.springer.com/article/10.1007/JHEP02(2018)070Extended SupersymmetryMatrix ModelsSupersymmetric Gauge Theory |
| spellingShingle | Anastasios Gorantis Joseph A. Minahan Usman Naseer Analytic continuation of dimensions in supersymmetric localization Journal of High Energy Physics Extended Supersymmetry Matrix Models Supersymmetric Gauge Theory |
| title | Analytic continuation of dimensions in supersymmetric localization |
| title_full | Analytic continuation of dimensions in supersymmetric localization |
| title_fullStr | Analytic continuation of dimensions in supersymmetric localization |
| title_full_unstemmed | Analytic continuation of dimensions in supersymmetric localization |
| title_short | Analytic continuation of dimensions in supersymmetric localization |
| title_sort | analytic continuation of dimensions in supersymmetric localization |
| topic | Extended Supersymmetry Matrix Models Supersymmetric Gauge Theory |
| url | http://link.springer.com/article/10.1007/JHEP02(2018)070 |
| work_keys_str_mv | AT anastasiosgorantis analyticcontinuationofdimensionsinsupersymmetriclocalization AT josephaminahan analyticcontinuationofdimensionsinsupersymmetriclocalization AT usmannaseer analyticcontinuationofdimensionsinsupersymmetriclocalization |