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Title: Exact instanton expansion of superconformal Chern-Simons theories from topological strings
Authors: Moriyama, Sanefumi
Nosaka, Tomoki
Author's alias: 森山, 翔文
野坂, 朋生
Keywords: Matrix Models
Chern-Simons Theories
Topological Strings
Issue Date: Apr-2015
Publisher: Springer Berlin Heidelberg
Journal title: Journal of High Energy Physics
Volume: 2015
Thesis number: 022
Abstract: It was known that the ABJM matrix model is dual to the topological string theory on a Calabi-Yau manifold. Using this relation it was possible to write down the exact instanton expansion of the partition function of the ABJM matrix model. The expression consists of a universal function constructed from the free energy of the refined topological string theory with an overall topological invariant characterizing the CalabiYau manifold. In this paper we explore two other superconformal Chern-Simons theories of the circular quiver type. We find that the partition function of one theory enjoys the same expression from the refined topological string theory as the ABJM matrix model with different topological invariants while that of the other is more general. We also observe an unexpected relation between these two theories.
Rights: © 2015, The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0
DOI(Published Version): 10.1007/JHEP05(2015)022
Appears in Collections:Journal Articles

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