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Title: Superconformal Chern-Simons partition functions of affine D-type quiver from Fermi gas
Authors: Moriyama, Sanefumi
Nosaka, Tomoki
Author's alias: 野坂, 朋生
Keywords: Supersymmetric gauge theory
Matrix Models
Chern-Simons Theories
M- Theory
Issue Date: Sep-2015
Publisher: Springer Berlin Heidelberg
Journal title: Journal of High Energy Physics
Volume: 2015
Thesis number: 054
Abstract: We consider the partition function of the superconformal Chern-Simons theories with the quiver diagram being the affine D-type Dynkin diagram. Rewriting the partition function into that of a Fermi gas system, we show that the perturbative expansions in 1/N are summed up to an Airy function, as in the ABJM theory or more generally the theories of the affine A-type quiver. As a corollary, this provides a proof for the previous proposal in the large N limit. For special values of the Chern-Simons levels, we further identify three species of the membrane instantons and also conjecture an exact expression of the overall constant, which corresponds to the constant map in the topological string theory.
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
URI: http://hdl.handle.net/2433/210360
DOI(Published Version): 10.1007/JHEP09(2015)054
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