Jacobi-Trudi Identity in Super Chern-Simons Matrix Model

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• ISSN: 1815-0659
• Main Authors: Furukawa, T., Moriyama, S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209523
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Jacobi-Trudi Identity in Super Chern-Simons Matrix Model / T. Furukawa, S. Moriyama // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 48 назв. — англ.

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),...