English

A novel cross-check of localization and non conformal holography

High Energy Physics - Theory 2014-07-18 v3

Abstract

We precisely reproduce the perimeter law obeyed by Wilson loops on large spatial contours in planar 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 N=2 SYM based on a background sourced by fractional D3-branes.

Keywords

Cite

@article{arxiv.1312.4561,
  title  = {A novel cross-check of localization and non conformal holography},
  author = {Francesco Bigazzi and Aldo L. Cotrone and Luca Griguolo and Domenico Seminara},
  journal= {arXiv preprint arXiv:1312.4561},
  year   = {2014}
}

Comments

9 pages, latex; v2:13 pages. A Section on the fractional brane setup has been added. Clarifications and references added; v3: published version, references added