Analytic continuation of dimensions in supersymmetric localization
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...
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Springer Berlin Heidelberg
2018
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| Онлайн доступ: | http://hdl.handle.net/1721.1/114498 https://orcid.org/0000-0002-7615-4175 |
| _version_ | 1826191778079834112 |
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| author | Gorantis, Anastasios Minahan, Joseph A. Naseer, Usman |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Gorantis, Anastasios Minahan, Joseph A. Naseer, Usman |
| author_sort | Gorantis, Anastasios |
| collection | MIT |
| description | 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 =1 gauge theory. The results are consistent with the free multiplets and the one-loop β-functions for general N = 1 gauge theories. We also consider the analytic continuation of an N = 1 preserving mass deformation of the maximally supersymmetric gauge theory and compare to recent holographic results for N = 1[superscript ∗] 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. Keywords: Extended Supersymmetry, Matrix Models, Supersymmetric Gauge Theory |
| first_indexed | 2024-09-23T09:01:08Z |
| format | Article |
| id | mit-1721.1/114498 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T09:01:08Z |
| publishDate | 2018 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1144982022-09-26T09:53:20Z Analytic continuation of dimensions in supersymmetric localization Gorantis, Anastasios Minahan, Joseph A. Naseer, Usman Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Naseer, Usman 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 =1 gauge theory. The results are consistent with the free multiplets and the one-loop β-functions for general N = 1 gauge theories. We also consider the analytic continuation of an N = 1 preserving mass deformation of the maximally supersymmetric gauge theory and compare to recent holographic results for N = 1[superscript ∗] 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. Keywords: Extended Supersymmetry, Matrix Models, Supersymmetric Gauge Theory United States. Department of Energy (Contract de-sc0012567) 2018-04-03T14:17:39Z 2018-04-03T14:17:39Z 2018-02 2017-11 2018-02-15T09:37:17Z Article http://purl.org/eprint/type/JournalArticle 1029-8479 1126-6708 http://hdl.handle.net/1721.1/114498 Gorantis, Anastasios, et al. “Analytic Continuation of Dimensions in Supersymmetric Localization.” Journal of High Energy Physics, vol. 2018, no. 2, Feb. 2018. © The Authors https://orcid.org/0000-0002-7615-4175 en http://dx.doi.org/10.1007/JHEP02(2018)070 Journal of High Energy Physics Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Gorantis, Anastasios Minahan, Joseph A. Naseer, Usman Analytic continuation of dimensions in supersymmetric localization |
| 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 |
| url | http://hdl.handle.net/1721.1/114498 https://orcid.org/0000-0002-7615-4175 |
| work_keys_str_mv | AT gorantisanastasios analyticcontinuationofdimensionsinsupersymmetriclocalization AT minahanjosepha analyticcontinuationofdimensionsinsupersymmetriclocalization AT naseerusman analyticcontinuationofdimensionsinsupersymmetriclocalization |