The generating functions for the Wilson loops in the symmetric and antisymmetric representations of the gauge group U(N ) are expressed in terms of the connected correlators of multiply-wound Wilson loops, using ingredients from the representation theory of the symmetric group. This provides a proof of a recent observation by Okuyama. As a by-product, we present a new calculation of the connected 2-point correlator of multiply-wound Wilson loops at leading order in 1/N.
Note on generating functions and connected correlators of 1/2-BPS Wilson loops in N=4 SYM theory / Canazas Garay, Anthonny F.; Faraggi, Alberto; Mück, Wolfgang. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2019:8(2019), p. 149. [10.1007/JHEP08(2019)149]
Note on generating functions and connected correlators of 1/2-BPS Wilson loops in N=4 SYM theory
Mück, Wolfgang
2019
Abstract
The generating functions for the Wilson loops in the symmetric and antisymmetric representations of the gauge group U(N ) are expressed in terms of the connected correlators of multiply-wound Wilson loops, using ingredients from the representation theory of the symmetric group. This provides a proof of a recent observation by Okuyama. As a by-product, we present a new calculation of the connected 2-point correlator of multiply-wound Wilson loops at leading order in 1/N.| File | Dimensione | Formato | |
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