2022-05-24T15:41:30Zhttps://soar-ir.repo.nii.ac.jp/oaioai:soar-ir.repo.nii.ac.jp:000179422021-09-02T06:22:43Z1169:1170Large N non-perturbative effects in N=4 superconformal Chern-Simons theoriesHatsuda, YasuyukiHonda, MasazumiOkuyama, KazumiAdS-CFT CorrespondenceNonperturbative EffectsTopological StringsM-TheoryWe investigate the large N instanton effects of partition functions in a class of N=4 circular quiver Chern-Simons theories on a three-sphere. Our analysis is based on the supersymmetry localization and the Fermi-gas formalism. The resulting matrix model can be regarded as a two-parameter deformation of the ABJM matrix model, and has richer non-perturbative structures. Based on a systematic semi-classical analysis, we find analytic expressions of membrane instanton corrections. We also exactly compute the partition function for various cases and find some exact forms of worldsheet instanton corrections, which appear as quantum mechanical non-perturbative corrections in the Fermi-gas system.ArticleJOURNAL OF HIGH ENERGY PHYSICS. (9):046 (2015)journal articleSPRINGER2015-09-09application/pdfJOURNAL OF HIGH ENERGY PHYSICS90461029-8479AA1188279Xhttps://soar-ir.repo.nii.ac.jp/record/17942/files/Large_N_non-perturbative_effects.pdfeng10.1007/JHEP09(2015)046https://doi.org/10.1007/JHEP09(2015)046As of 2015, JHEP articles are published on open access terms, with Creative Commons 4.0 license and the copyright is retained by the authors. Earlier articles may have been published on different terms.