Geodesic
Jacobi–Trudi Identity in Super Chern–Simons Matrix Model
Symmetry, integrability and geometry: methods and applications, Tome 14 (2018) Cet article a éte moissonné depuis la source Math-Net.Ru

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It was proved by Macdonald that the Giambelli identity holds if we define the Schur functions using the Jacobi–Trudi identity. Previously for the super Chern–Simons matrix model (the spherical one-point function of the superconformal Chern–Simons theory describing the worldvolume of the M2-branes) the Giambelli identity was proved from a shifted version of it. With the same shifted Giambelli identity we can further prove the Jacobi–Trudi identity, which strongly suggests an integrable structure for this matrix model.
Keywords: Jacobi–Trudi identity; ABJM theory; Chern–Simons theory; matrix model; integrable system. 
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     author = {Tomohiro Furukawa and Sanefumi Moriyama},
     title = {Jacobi{\textendash}Trudi {Identity} in {Super} {Chern{\textendash}Simons} {Matrix} {Model}},
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}
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Tomohiro Furukawa; Sanefumi Moriyama. Jacobi–Trudi Identity in Super Chern–Simons Matrix Model. Symmetry, integrability and geometry: methods and applications, Tome 14 (2018). http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a48/

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