Note on generating functions and connected correlators of 1/2-BPS Wilson loops in $\mathcal{N}=4$ SYM theory
| Autor: | Garay, Anthonny F. Canazas, Faraggi, Alberto, Mück, Wolfgang |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | JHEP08(2019)149 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP08(2019)149 |
| Popis: | 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 $1/N$. Comment: 16 pages, v2: references added, changes in intro and conclusions, corrected typos |
| Databáze: | arXiv |
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