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arXiv · 1711.04893

Jacobi-Trudi Identity in Super Chern-Simons Matrix Model

Tomohiro Furukawa·Sanefumi Moriyama
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Abstract

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.

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Tomohiro Furukawa, Sanefumi Moriyama. 2017-11-14. Jacobi-Trudi Identity in Super Chern-Simons Matrix Model. https://doi.org/10.3842/sigma.2018.049

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