Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-05-12
JHEP 0908:061,2009
Physics
High Energy Physics
High Energy Physics - Theory
20 page, 8 figures
Scientific paper
10.1088/1126-6708/2009/08/061
We study the correlators of a recently discovered family of BPS Wilson loops in ${\cal N}=4$ supersymmetric U(N) Yang-Mills theory. When the contours lie on a two-sphere in the space-time, we propose a closed expression that is valid for all values of the coupling constant $g$ and for any rank $N$, by exploiting the suspected relation with two-dimensional gauge theories. We check this formula perturbatively at order ${\cal O}(g^4)$ for two latitude Wilson loops and we show that, in the limit where one of the loops shrinks to a point, logarithmic corrections in the shrinking radius are absent at ${\cal O}(g^6)$. This last result strongly supports the validity of our general expression and suggests the existence of a peculiar protected local operator arising in the OPE of the Wilson loop. At strong coupling we compare our result to the string dual of the ${\cal N}=4$ SYM correlator in the limit of large separation, presenting some preliminary evidence for the agreement.
Bassetto Antonio
Griguolo Luca
Pucci Fabrizio
Seminara Domenico
Thambyahpillai Shiyamala
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