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• W3036690721 abstract "We study the half-BPS circular Wilson loop in ${cal N}=4$ super Yang-Mills with orthogonal gauge group. By supersymmetric localization, its expectation value can be computed exactly from a matrix integral over the Lie algebra of $SO(N)$. We focus on the large $N$ limit and present some simple quantitative tests of the duality with type IIB string theory in $AdS_5times mathbb{RP}^5$. In particular, we show that the strong coupling limit of the expectation value of the Wilson loop in the spinor representation of the gauge group precisely matches the classical action of the dual string theory object, which is expected to be a D5-brane wrapping a $mathbb{RP}^4$ subspace of $mathbb{RP}^5$. We also briefly discuss the large $N$, large $lambda$ limits of the $SO(N)$ Wilson loop in the symmetric/antisymmetric representations and their D3/D5-brane duals. Finally, we use the D5-brane description to extract the leading strong coupling behavior of the bremsstrahlung associated to a spinor probe charge, or equivalently the normalization of the two-point function of the displacement operator on the spinor Wilson loop, and obtain agreement with the localization prediction." @default.
• W3036690721 created "2020-06-25" @default.
• W3036690721 creator A5017569373 @default.
• W3036690721 creator A5086172187 @default.
• W3036690721 date "2020-06-18" @default.
• W3036690721 modified "2023-09-27" @default.
• W3036690721 title "Wilson loops in $mathcal{N}=4$ $SO(N)$ SYM and D-Branes in $AdS_5times mathbb{RP}^5$" @default.
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