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Flavour singlets in gauge theory as permutations

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Autor(es):
Kimura, Yusuke ; Ramgoolam, Sanjaye ; Suzuki, Ryo
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: Journal of High Energy Physics; n. 12 DEC 28 2016.
Citações Web of Science: 3
Resumo

Gauge-invariant operators can be specified by equivalence classes of permutations. We develop this idea concretely for the singlets of the flavour group SO(N-f) in U(N-c) gauge theory by using Gelfand pairs and Schur-Weyl duality. The singlet operators, when specialised at N-f = 6, belong to the scalar sector of N = 4 SYM. A simple formula is given for the two-point functions in the free field limit of g(YM)(2) = 0. The free two-point functions are shown to be equal to the partition function on a 2-complex with boundaries and a defect, in a topological field theory of permutations. The permutation equivalence classes are Fourier transformed to a representation basis which is orthogonal for the two point functions at finite N-c, N-f. Counting formulae for the gauge-invariant operators are described. The one-loop mixing matrix is derived as a linear operator on the permutation equivalence classes. (AU)

Processo FAPESP: 15/04030-7 - Integrabilidade em teorias de Gauge
Beneficiário:Ryo Suzuki
Linha de fomento: Bolsas no Brasil - Pós-Doutorado
Processo FAPESP: 11/11973-4 - ICTP Instituto Sul-Americano para Pesquisa Fundamental: um centro regional para física teórica
Beneficiário:Nathan Jacob Berkovits
Linha de fomento: Auxílio à Pesquisa - Temático