Supergravity, D-brane Probes and thermal super Yang-Mills: a comparison

TL;DR

This paper compares supergravity predictions with perturbative calculations for a D3-brane probe in thermal super Yang-Mills, testing the AdS/CFT correspondence and exploring cosmological implications.

Contribution

It provides a perturbative test of the Maldacena conjecture at finite temperature and predicts non-perturbative effective couplings with potential cosmological applications.

Findings

Supergravity results agree with perturbative Yang-Mills when Higgs expectation is large.

Predictions for running electric and magnetic couplings beyond perturbation theory.

Proposes mechanisms for reducing cosmological constant and varying speed of light.

Abstract

A D3-brane probe in the context of AdS/CFT correspondence at finite temperature is considered. The supergravity predictions for the physical effective couplings of the world-volume gauge theory of the probe brane are compared to those calculated in one-loop perturbation theory in the thermal gauge theory. It is argued that when the Higgs expectation value is much larger than the temperature, the supergravity result must agree with perturbative thermal Yang-Mills. This provides a perturbative test of the Maldacena conjecture. Predictions for the running electric and magnetic effective couplings, beyond perturbation theory are also obtained. Phenomenological applications for universe-branes are discussed. In particular mechanisms are suggested for reducing the induced cosmological constant and naturally obtaining a varying speed of light and a consequent inflation on the universe brane.