A holographic realization of light dilatons

TL;DR

This paper explores a holographic model for light dilatons arising from nearly marginal operator deformations in conformal field theories, providing a mass formula and methods to compute condensates.

Contribution

It introduces a holographic framework for light dilatons with a new mass formula and condensate computation techniques in RG flows ending on a soft wall.

Findings

Derived a mass formula for light dilatons along RG flows.

Developed a holographic method to compute condensates.

Analyzed the behavior of dilatons in nearly marginal deformations.

Abstract

We study a realization of light dilatons by considering Conformal Field Theories deformed by a nearly marginal operator ${\cal O}$. This is discussed in the holographic setup consisting of Renormalization Group flows that end on a soft wall. We obtain a mass formula for the dilaton as an average along the flow. Finally we discuss the holographic method to compute the condensate $\langle {\cal O} \rangle$.