English

Precision Holography for $\mathcal{N}=2^{*}$ on $S^4$ from type IIB Supergravity

High Energy Physics - Theory 2018-05-23 v1

Abstract

We find a new supersymmetric solution of type IIB supergravity which is holographically dual to the planar limit of the four-dimensional N=2\mathcal{N}=2^* supersymmetric Yang-Mills theory on S4S^4. We study a probe fundamental string in this background which is dual to a supersymmetric Wilson loop in the N=2\mathcal{N}=2^* theory. Using holography we calculate the expectation value of this line operator to leading order in the 't Hooft coupling. The result is a non-trivial function of the mass parameter of the N=2\mathcal{N}=2^* theory that precisely matches the result from supersymmetric localization.

Keywords

Cite

@article{arxiv.1802.09539,
  title  = {Precision Holography for $\mathcal{N}=2^{*}$ on $S^4$ from type IIB Supergravity},
  author = {Nikolay Bobev and Fridrik Freyr Gautason and Jesse van Muiden},
  journal= {arXiv preprint arXiv:1802.09539},
  year   = {2018}
}

Comments

28 pages, 4 figures

R2 v1 2026-06-23T00:34:07.093Z