A Comment on the Holographic Renormalization Group and the Soft Dilaton Theorem

TL;DR

This paper demonstrates the equivalence between the holographic renormalization group and the soft dilaton theorem within a specific class of string theory solutions, clarifying their relationship in theoretical physics.

Contribution

It establishes a formal connection between the holographic RG and the soft dilaton theorem for wrapped metric solutions of string beta function equations.

Findings

Proves the equivalence for a class of solutions

Clarifies the relationship between holographic RG and dilaton theorem

Provides insights into string theory beta functions

Abstract

The equivalence between the holographic renormalization group and the soft dilaton theorem is shown for a class of wrapped metrics solutions of the string beta function equations for the bosonic string.