Please use this identifier to cite or link to this item:
http://hdl.handle.net/10071/20998
Author(s): | David Garcia-Garcia Tierz, M. |
Date: | 2020 |
Title: | Matrix models for classical groups and Toeplitz±Hankel minors with applications to Chern-Simons theory and fermionic models |
Volume: | 53 |
Number: | 34 |
ISSN: | 1751-8113 |
DOI (Digital Object Identifier): | 10.1088/1751-8121/ab9b4d |
Abstract: | We study matrix integration over the classical Lie groups U(N), Sp(2N), SO(2N) and SO(2N + 1), using symmetric function theory and the equivalent formulation in terms of determinants and minors of Toeplitz ± Hankel matrices. We establish a number of factorizations and expansions for such integrals, also with insertions of irreducible characters. As a specific example, we compute both at finite and large N the partition functions, Wilson loops and Hopf links of Chern-Simons theory on S 3 with the aforementioned symmetry groups. The identities found for the general models translate in this context to relations between observables of the theory. Finally, we use character expansions to evaluate averages in random matrix ensembles of Chern-Simons type, describing the spectra of solvable fermionic models with matrix degrees of freedom. |
Peerreviewed: | yes |
Access type: | Open Access |
Appears in Collections: | DM-RI - Artigos em revistas científicas internacionais com arbitragem científica |
Files in This Item:
File | Description | Size | Format | |
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Matrix models for classical groups_Postprint.pdf | Versão Aceite | 660,89 kB | Adobe PDF | View/Open |
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