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2022-12-14T04:13:28Z
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Instanton bound states in ABJM theory
Hatsuda, Yasuyuki
Moriyama, Sanefumi
Okuyama, Kazumi
© 2013 SISSA. JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0
Matrix Models
Chern-Simons Theories
Nonperturbative Effects
M-Theory
The partition function of the ABJM theory receives non-perturbative corrections due to instanton effects. We study these non-perturbative corrections, including bound states of worldsheet instantons and membrane instantons, in the Fermi-gas approach. We require that the total non-perturbative correction should be always finite for arbitrary Chern-Simons level. This finiteness is realized quite non-trivially because each bound state contribution naively diverges at some levels. The poles of each contribution should be canceled out in total. We use this pole cancellation mechanism to find unknown bound state corrections from known ones. We conjecture a general expression of the bound state contribution. Summing up all the bound state contributions, we find that the effect of bound states is simply incorporated into the worldsheet instanton correction by a redefinition of the chemical potential in the Fermi-gas system. Analytic expressions of the 3- and 4-membrane instanton corrections are also proposed.
Article
JOURNAL OF HIGH ENERGY PHYSICS. 2013(5):54 (2013)
SPRINGER
2013-05
eng
journal article
VoR
http://hdl.handle.net/10091/00019029
https://soar-ir.repo.nii.ac.jp/records/18267
https://doi.org/10.1007/JHEP05(2013)054
10.1007/JHEP05(2013)054
1029-8479
AA1188279X
JOURNAL OF HIGH ENERGY PHYSICS
2013
5
54
https://soar-ir.repo.nii.ac.jp/record/18267/files/Instanton_bound_states_ABJM_theory.pdf
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