English

Wilson loops in 5d long quiver gauge theories

High Energy Physics - Theory 2020-10-26 v1

Abstract

Quiver gauge theories with a large number of nodes host a wealth of Wilson loop operators. Expectation values are obtained, using supersymmetric localization, for Wilson loops in the antisymmetric representations associated with each individual gauge node, for a sample of 5d long quiver gauge theories whose UV fixed points have holographic duals in Type IIB. The sample includes the TNT_N theories and the results are uniformly given in terms of Bloch-Wigner functions. The holographic representation of the Wilson loops is identified. It comprises, for each supergravity solution, a two-parameter family of D3-branes which exactly reproduce the field theory results and identify points in the internal space with the faces of the associated 5-brane web. The expectation values of (anti)fundamental Wilson loops exhibit an enhanced scaling for many operators, which matches between field theory and supergravity.

Keywords

Cite

@article{arxiv.2006.01142,
  title  = {Wilson loops in 5d long quiver gauge theories},
  author = {Christoph F. Uhlemann},
  journal= {arXiv preprint arXiv:2006.01142},
  year   = {2020}
}

Comments

43 pages, 7 figures