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Wilson loops in \( \mathcal{N} \) = 4 SO(N) SYM and D-branes in AdS5 × ℝℙ5

Journal of High Energy Physics volume 2021, Article number: 16 (2021) Cite this article

A preprint version of the article is available at arXiv.

Abstract

We study the half-BPS circular Wilson loop in \( \mathcal{N} \) = 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 AdS5 × ℝℙ5. 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 ℝℙ4 subspace of ℝℙ5. We also briefly discuss the large N, large λ 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 function” 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.

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  1. Department of Physics, Princeton University, Princeton, NJ, 08544, USA

    Simone Giombi & Bendeguz Offertaler

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  1. Simone Giombi
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Giombi, S., Offertaler, B. Wilson loops in \( \mathcal{N} \) = 4 SO(N) SYM and D-branes in AdS5 × ℝℙ5. J. High Energ. Phys. 2021, 16 (2021). https://doi.org/10.1007/JHEP10(2021)016

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Keywords

  • AdS-CFT Correspondence
  • D-branes
  • Matrix Models
  • Wilson
  • ’t Hooft and Polyakov loops