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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Autores principales:	Junho Hong, James T. Liu
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Chern-Simons Theories Supersymmetric Gauge Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/dc49997e18df4b809bbe3298b65b2afb
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spelling	oai:doaj.org-article:dc49997e18df4b809bbe3298b65b2afb2021-11-28T12:39:35ZSubleading corrections to the S 3 free energy of necklace quiver theories dual to massive IIA10.1007/JHEP11(2021)1831029-8479https://doaj.org/article/dc49997e18df4b809bbe3298b65b2afb2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)183https://doaj.org/toc/1029-8479Abstract 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.Junho HongJames T. LiuSpringerOpenarticleChern-Simons TheoriesSupersymmetric Gauge TheoryNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-40 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Chern-Simons Theories Supersymmetric Gauge Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Chern-Simons Theories Supersymmetric Gauge Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Junho Hong James T. Liu Subleading corrections to the S 3 free energy of necklace quiver theories dual to massive IIA
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.
format	article
author	Junho Hong James T. Liu
author_facet	Junho Hong James T. Liu
author_sort	Junho Hong
title	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_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_sort	subleading corrections to the s 3 free energy of necklace quiver theories dual to massive iia
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/dc49997e18df4b809bbe3298b65b2afb
work_keys_str_mv	AT junhohong subleadingcorrectionstothes3freeenergyofnecklacequivertheoriesdualtomassiveiia AT jamestliu subleadingcorrectionstothes3freeenergyofnecklacequivertheoriesdualtomassiveiia
_version_	1718407862138437632

Subleading corrections to the S 3 free energy of necklace quiver theories dual to massive IIA

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