A Note on Wilson Loop in N=2 Quiver/M theory Gravity Duality

TL;DR

This paper computes Wilson loops in 4D N=2 supersymmetric quiver gauge theories using localization and confirms the results match predictions from M-theory supergravity, supporting the duality conjecture.

Contribution

It applies localization techniques to N=2 quiver gauge theories and provides evidence for the duality with M-theory supergravity by matching results.

Findings

Wilson loop calculations agree between gauge theory and supergravity

Supports the N=2 quiver SCFT / M theory duality

Validates localization method in this context

Abstract

We study Wilson loops in the 4-dimensional N=2 supersymmetric quiver/M theory duality recently constructed by Gaiotto and Maldacena, that is conjectured to be dual to M2 branes on AdS_5\times S^4 fibered over \Sigma_2. We use the localization method raised by Pestun, in order to compute the Wilson loop in 4-dimensional N=2 supersymmetric linear quiver gauge theory. We obtained the consistent results in the quiver gauge theory and the 11-dimensional supergravity. This match supports the N=2 quiver SCFT / M theory supergravity duality.