On running couplings in gauge theories from type-IIB supergravity

TL;DR

This paper constructs a type-IIB supergravity solution modeling a non-supersymmetric gauge theory with a universal power-law running coupling and analyzes its properties, including the beta-function and quark-antiquark potential.

Contribution

It provides an explicit supergravity solution capturing the strong coupling dynamics of a non-supersymmetric gauge theory with a stable UV fixed point.

Findings

The gauge coupling exhibits a universal power-law behavior.

The solution defines an asymptotic expansion for the beta-function.

First correction to the Coulombic quark-antiquark potential is calculated.

Abstract

We construct an explicit solution of type-IIB supergravity describing the strong coupling regime of a non-supersymmetric gauge theory. The latter has a running coupling with an ultraviolet stable fixed point corresponding to the N=4 SU(N) super-Yang-Mills theory at large N. The running coupling has a power law behaviour, argued to be universal, that is consistent with holography. Around the critical point, our solution defines an asymptotic expansion for the gauge coupling beta-function. We also calculate the first correction to the Coulombic quark-antiquark potential.