Instanton bound states in ABJM theory
By Yasuyuki Hatsuda, Sanefumi Moriyama, Kazumi Okuyama. 2013
162 citations recorded by the source corpus.
A bstractThe 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.
Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/69f84ca2ecc8c53f2b09932c0c613c7447737fa9
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In Atomic and Molecular Physics, and Optics
- Marcos Mariño
- Yasuyuki Hatsuda
- A. Grassi
- Kazumi Okuyama
- Sanefumi Moriyama
- Phil Saad
- M. Unsal
- R. Schiappa
In Nuclear and High Energy Physics
- Yasuyuki Hatsuda
- Sanefumi Moriyama
- Kazumi Okuyama
- A. Grassi
- Marcos Mariño
- C. Vafa
- Pavel Putrov
- B. Eynard
Citations in the corpus
- Non-perturbative effects and the refined topological string (2013, background): “It was conjectured in [16] that one has the following relationship,”
- Topological Strings from Quantum Mechanics (2014, methodology): “We will now introduce, in analogy with ABJM theory [9], an “effective” μ parameter”