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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Flavour singlets in gauge theory as permutations

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Author(s):
Kimura, Yusuke ; Ramgoolam, Sanjaye ; Suzuki, Ryo
Total Authors: 3
Document type: Journal article
Source: Journal of High Energy Physics; n. 12 DEC 28 2016.
Web of Science Citations: 3
Abstract

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)

FAPESP's process: 15/04030-7 - Integrability in Gauge theories
Grantee:Ryo Suzuki
Support type: Scholarships in Brazil - Post-Doctorate
FAPESP's process: 11/11973-4 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics
Grantee:Nathan Jacob Berkovits
Support type: Research Projects - Thematic Grants