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• W879231348 abstract "The exact partition function in ABJM theory on three-sphere can be regarded as a canonical partition function of a non-interacting Fermi-gas with an unconventional Hamiltonian. All the information on the partition function is encoded in the discrete spectrum of this Hamiltonian. We explain how (quantum mechanical) non-perturbative corrections in the Fermi-gas system appear from a spectral consideration. Basic tools in our analysis are a Mellin-Barnes type integral representation and a spectral zeta function. From a consistency with known results, we conjecture that the spectral zeta function in the ABJM Fermi-gas has an infinite number of “non-perturbative” poles, which are invisible in the semi-classical expansion of the Planck constant. We observe that these poles indeed appear after summing up perturbative corrections. As a consequence, the perturbative resummation of the spectral zeta function causes non-perturbative corrections to the grand canonical partition function. We also present another example associated with a spectral problem in topological string theory. A conjectured non-perturbative free energy on the resolved conifold is successfully reproduced in this framework." @default.
• W879231348 created "2016-06-24" @default.
• W879231348 creator A5054988163 @default.
• W879231348 date "2015-11-01" @default.
• W879231348 modified "2023-09-23" @default.
• W879231348 title "Spectral zeta function and non-perturbative effects in ABJM Fermi-gas" @default.
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• W879231348 doi "https://doi.org/10.1007/jhep11(2015)086" @default.
• W879231348 hasPublicationYear "2015" @default.
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