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Similar

M. Marino and P. Putrov, “Exact Results in ABJM Theory from Topological Strings,” JHEP 1006
Original
2010
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N. Drukker, M. Marino and P. Putrov, “From weak to strong coupling in ABJM theory,” Commun. Math. Phys. 306
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2011
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H. Fuji, S. Hirano and S. Moriyama, “Summing Up All Genus Free Energy of ABJM Matrix Model,” JHEP 1108
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2011
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M. Marino and P. Putrov, “ABJM theory as a Fermi gas,” J. Stat. Mech. 1203
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2012
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Y. Hatsuda, S. Moriyama and K. Okuyama, “Exact Results on the ABJM Fermi Gas,” JHEP 1210
Original

Then

S. Moriyama and T. Nosaka, “Partition Functions of Superconformal Chern-Simons Theories from Fermi Gas Approach,” JHEP 1411
Original
2014
Later among the works it cites.
S. Moriyama, “M-theory and matrix models,” PoS KMI 2013
2014
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Y. Hatsuda, M. Marino, S. Moriyama and K. Okuyama, “Non-perturbative effects and the refined topological string,” JHEP 1409
Original
2014
Later among the works it cites.
Y. Hatsuda, S. Moriyama and K. Okuyama, “Exact instanton expansion of the ABJM partition function,” PTEP 2015
Original
2015
Later among the works it cites.
S. Moriyama and T. Nosaka, “ABJM membrane instanton from a pole cancellation mechanism,” Phys. Rev. D 92
Original
2015

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2016

Giambelli Identity in Super Chern-Simons Matrix Model

Matsuno, Satsuki, Moriyama, Sanefumi

Understand

A classical identity due to Giambelli in representation theory states that the character in any representation is expressed as a determinant whose components are characters in the hook representation constructed from all the combinations of the arm and leg lengths of the original representation.

Previously it was shown that the identity persists in taking, for each character, the matrix integration in the super Chern-Simons matrix model in the grand canonical ensemble.
We prove here that this Giambelli compatibility still holds in the deformation of the fractional-brane background.