| Texto completo | |
| Autor(es): |
Kimura, Yusuke
;
Ramgoolam, Sanjaye
;
Suzuki, Ryo
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Journal of High Energy Physics; v. N/A, n. 12, p. 46-pg., 2016-12-28. |
| 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: | 11/11973-4 - ICTP Instituto Sul-Americano para Pesquisa Fundamental: um centro regional para física teórica |
| Beneficiário: | Nathan Jacob Berkovits |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |
| Processo FAPESP: | 15/04030-7 - Integrabilidade em teorias de Gauge |
| Beneficiário: | Ryo Suzuki |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |