Instanton effects in ABJM theory from Fermi gas approach
By Yasuyuki Hatsuda, Sanefumi Moriyama, Kazumi Okuyama. 2012
224 citations recorded by the source corpus.
A bstractWe study the instanton effects of the ABJM partition function using the Fermi gas formalism. We compute the exact values of the partition function at the Chern-Simons levels k = 1, 2, 3, 4, 6 up to N = 44, 20, 18, 16, 14 respectively, and extract non-perturbative corrections from these exact results. Fitting the resulting non-perturbative corrections by their expected forms from the Fermi gas, we determine unknown parameters in them. After separating the oscillating behavior of the grand potential, which originates in the periodicity of the grand partition function, and the worldsheet instanton contribution, which is computed from the topological string theory, we succeed in proposing an analytical expression for the leading D2-instanton correction. Just as the perturbative result, the instanton corrections to the partition function are expressed in terms of the Airy function.
Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/a2d957b61e19d6b30c43aff46fb9308280b38a66
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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
- Topological Strings from Quantum Mechanics (2014, methodology): “A crucial rôle in the proposal was played by the HMO cancellation mechanism [7], which guaranteed that the total free energy was smooth.”
- Non-perturbative effects and the refined topological string (2013, methodology): “The proposal in [15] is that, for any fixed, integer value of k, singularities are cancelled order by order in the expansion in e−μ.”
- Instanton bound states in ABJM theory (2013, methodology): “As suggested in [18] and further explained in [15], in addition to such two kinds of instantons, it is natural to expect that there is a bound state of l-membrane instanton and m-worldsheet instanton which gives rise to the correction of order O(e 4m k ).”