Abstract
We precisely reproduce the perimeter law obeyed by Wilson loops on large spatial contours in planar \( \mathcal{N} \) = 2 SYM at strong coupling, as recently deduced using localization, by means of a dual holographic model. The relevant supergravity background is sourced by D5-branes wrapped on a two-sphere in a Calabi-Yau two-manifold. Thus, localization and holography are cross-checked, for the first time, in a non conformal context where the gravity background is not asymptotically Anti de Sitter and the dual gauge theory has a logarithmically running coupling. We also notice that the same cross-check can be performed considering an alternative holographic description of \( \mathcal{N} \) = 2 SYM based on a background sourced by fractional D3-branes.
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ArXiv ePrint: 1312.4561
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Bigazzi, F., Cotrone, A.L., Griguolo, L. et al. A novel cross-check of localization and non conformal holography. J. High Energ. Phys. 2014, 72 (2014). https://doi.org/10.1007/JHEP03(2014)072
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DOI: https://doi.org/10.1007/JHEP03(2014)072