Jacobi-Trudi Identity in Super Chern-Simons Matrix Model
Copyright policy )Jacobi-Trudi Identity in Super Chern-Simons Matrix Model
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.
High Energy Physics - Theory, Symmetric functions and generalizations, ABJM theory, Jacobi-Trudi identity, matrix model, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), FOS: Physical sciences, Mathematical Physics (math-ph), integrable system, High Energy Physics - Theory (hep-th), Chern-Simons theory, Mathematical Physics
High Energy Physics - Theory, Symmetric functions and generalizations, ABJM theory, Jacobi-Trudi identity, matrix model, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), FOS: Physical sciences, Mathematical Physics (math-ph), integrable system, High Energy Physics - Theory (hep-th), Chern-Simons theory, Mathematical Physics
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