Year: 2017
Type: article
Abstract: 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. We prove that, in a general fractional-brane background, the identity persists in taking, for each character, the matrix integration of the super Chern-Simons matrix model in the grand canonical ensemble.
Source: Journal of Mathematical Physics
DOI: 10.1063/1.4978229
Authors: Satsuki Matsuno, Sanefumi Moriyama
Institution: Osaka City University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2298513305