Gauge/Gravity Theory with Running Dilaton and Running Axion

TL;DR

This paper constructs a new gauge/gravity duality model incorporating running dilaton and axion fields, advancing the understanding of complex renormalization group flows in gauge theories with potential cosmological applications.

Contribution

It provides the first explicit supergravity solutions with both running dilaton and axion, including sources like D7-branes and Dirac 8-branes, modeling RG flows and duality transitions.

Findings

First explicit example of gauge/gravity duality with running dilaton and axion.

Identification of D7-branes and Dirac 8-branes as sources for field runnings.

Potential applications in cosmology and string phenomenology.

Abstract

We present a new gauge/gravity duality construction of the Klebanov-Strassler throat which takes corrections to the anomalous mass dimension proposed in [1] into account on the gauge theory side and both the dilaton and the axion run on the gravity side. The corresponding supergravity solutions are found using equations for type IIB flows with N=1 supersymmetry obtained in [2]. We find that magnetic couplings of the axion to D7-branes filling 4-d spacetime and wrapping 4-cycles at locations of duality transitions and invisible Dirac 8-branes whose worldvolume emanates from the worldvolume of the D7-branes are the sources for the runnings of the dilaton and the axion. Our construction provides the first explicit example of a gauge/gravity duality mapping with a running dilaton or a running axion which is an important component towards finding gravity duals to gauge theories with physically more interesting renormalization group flows such as pure confining gauge theories in four dimensions. The D7-branes also serve as gravitational source for Seiberg duality transitions. The supergravity background has distinct features which could be useful for constructing cosmological models and studying possibilities for probing stringy signatures from the early universe.