Holography and $AdS_4$ self-gravitating dyons

TL;DR

This paper constructs a self-gravitating dyon solution in asymptotically AdS space, analyzes its properties via gauge/gravity duality, and explores phase transitions and Wilson loop expectations in the dual quantum field theory.

Contribution

It introduces a novel self-gravitating dyon solution in Einstein-Yang-Mills-Higgs theory within AdS space and studies its implications for the dual boundary field theory.

Findings

Identification of an order parameter for phase transition

Characterization of a phase transition in the dual theory

Calculation of the finite temperature Wilson loop expectation value

Abstract

We present a self-gravitating dyon solution of the Einstein-Yang-Mills-Higgs equations of motion in asymptotically AdS space. The back reaction of gauge and Higgs fields on the space-time geometry leads to the metric of an asymptotically AdS black hole. Using the gauge/gravity correspondence we analyze relevant properties of the finite temperature quantum field theory defined on the boundary. In particular we identify an order operator, characterize a phase transition of the dual theory on the border and also compute the expectation value of the finite temperature Wilson loop.