Utilize este identificador para referenciar este registo: http://hdl.handle.net/10071/20998
Autoria: David Garcia-Garcia
Tierz, M.
Data: 2020
Título próprio: Matrix models for classical groups and Toeplitz±Hankel minors with applications to Chern-Simons theory and fermionic models
Volume: 53
Número: 34
ISSN: 1751-8113
DOI (Digital Object Identifier): 10.1088/1751-8121/ab9b4d
Resumo: 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.
Arbitragem científica: yes
Acesso: Acesso Aberto
Aparece nas coleções:DM-RI - Artigos em revistas científicas internacionais com arbitragem científica

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