Subleading corrections to the S 3 free energy of necklace quiver theories dual to massive IIA
Abstract We investigate the S 3 free energy of N $$ \mathcal{N} $$ = 3 Chern-Simons-matter quiver gauge theories with gauge group U(N) r (r ≥ 2) where the sum of Chern-Simons levels does not vanish, beyond the leading order in the large-N limit. We take two different approaches to explore the sub-le...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2021)183 |
| _version_ | 1819198359566548992 |
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| author | Junho Hong James T. Liu |
| author_facet | Junho Hong James T. Liu |
| author_sort | Junho Hong |
| collection | DOAJ |
| description | Abstract We investigate the S 3 free energy of N $$ \mathcal{N} $$ = 3 Chern-Simons-matter quiver gauge theories with gauge group U(N) r (r ≥ 2) where the sum of Chern-Simons levels does not vanish, beyond the leading order in the large-N limit. We take two different approaches to explore the sub-leading structures of the free energy. First we evaluate the matrix integral for the partition function in the ’t Hooft limit using a saddle point approximation. Second we use an ideal Fermi-gas model to compute the same partition function, but in the limit of fixed Chern-Simons levels. The resulting expressions for the free energy F = − log Z are then compared in the overlapping parameter regime. The Fermi-gas approach also hints at a universal 1 6 $$ \frac{1}{6} $$ log N correction to the free energy. Since the quiver gauge theories we consider are dual to massive Type IIA theory, we expect the sub-leading correction of the planar free energy in the large ’t Hooft parameter limit to match higher-derivative corrections to the tree-level holographic dual free energy, which have not yet been fully investigated. |
| first_indexed | 2024-12-23T02:59:11Z |
| format | Article |
| id | doaj.art-dc49997e18df4b809bbe3298b65b2afb |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-23T02:59:11Z |
| publishDate | 2021-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-dc49997e18df4b809bbe3298b65b2afb2022-12-21T18:02:29ZengSpringerOpenJournal of High Energy Physics1029-84792021-11-0120211114010.1007/JHEP11(2021)183Subleading corrections to the S 3 free energy of necklace quiver theories dual to massive IIAJunho Hong0James T. Liu1Leinweber Center for Theoretical Physics, Randall Laboratory of Physics, The University of MichiganLeinweber Center for Theoretical Physics, Randall Laboratory of Physics, The University of MichiganAbstract We investigate the S 3 free energy of N $$ \mathcal{N} $$ = 3 Chern-Simons-matter quiver gauge theories with gauge group U(N) r (r ≥ 2) where the sum of Chern-Simons levels does not vanish, beyond the leading order in the large-N limit. We take two different approaches to explore the sub-leading structures of the free energy. First we evaluate the matrix integral for the partition function in the ’t Hooft limit using a saddle point approximation. Second we use an ideal Fermi-gas model to compute the same partition function, but in the limit of fixed Chern-Simons levels. The resulting expressions for the free energy F = − log Z are then compared in the overlapping parameter regime. The Fermi-gas approach also hints at a universal 1 6 $$ \frac{1}{6} $$ log N correction to the free energy. Since the quiver gauge theories we consider are dual to massive Type IIA theory, we expect the sub-leading correction of the planar free energy in the large ’t Hooft parameter limit to match higher-derivative corrections to the tree-level holographic dual free energy, which have not yet been fully investigated.https://doi.org/10.1007/JHEP11(2021)183Chern-Simons TheoriesSupersymmetric Gauge Theory |
| spellingShingle | Junho Hong James T. Liu Subleading corrections to the S 3 free energy of necklace quiver theories dual to massive IIA Journal of High Energy Physics Chern-Simons Theories Supersymmetric Gauge Theory |
| title | Subleading corrections to the S 3 free energy of necklace quiver theories dual to massive IIA |
| title_full | Subleading corrections to the S 3 free energy of necklace quiver theories dual to massive IIA |
| title_fullStr | Subleading corrections to the S 3 free energy of necklace quiver theories dual to massive IIA |
| title_full_unstemmed | Subleading corrections to the S 3 free energy of necklace quiver theories dual to massive IIA |
| title_short | Subleading corrections to the S 3 free energy of necklace quiver theories dual to massive IIA |
| title_sort | subleading corrections to the s 3 free energy of necklace quiver theories dual to massive iia |
| topic | Chern-Simons Theories Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP11(2021)183 |
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