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Title: Instanton effects in ABJM theory with general R-charge assignments
Authors: Nosaka, Tomoki
Author's alias: 野坂, 朋生
Keywords: Supersymmetric gauge theory
Matrix Models
Nonperturbative Effects
Issue Date: Mar-2016
Publisher: Springer Berlin Heidelberg
Journal title: Journal of High Energy Physics
Volume: 2016
Thesis number: 059
Abstract: We study the large N expansion of the partition function of the quiver superconformal Chern-Simons theories deformed by two continuous parameters which correspond to general R-charge assignment to the matter fields. Though the deformation breaks the conformal symmetry, we find that the partition function shares various structures with the superconformal cases, such as the Airy function expression of the perturbative expansion in 1/N with the overall constant A(k) related to the constant map in the ABJM case through a simple rescaling of k. We also identify five kinds of the non-perturbative effects in 1/N which correspond to the membrane instantons. The instanton exponents and the singular structure of the coefficients depend on the continuous deformation parameters, in contrast to the superconformal case where all the parameters are integers associated with the orbifold action on the moduli space. This implies that the singularity of the instanton effects would be observable also in the gravity side.
Rights: © 2016, 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/JHEP03(2016)059
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