# RG flow in an exactly solvable model with fluctuating geometry

## TL;DR

This paper applies a novel renormalization group method to a model of branched polymers with fluctuating geometry, deriving exact solutions for the flow of coupling constants.

## Contribution

It introduces an analytical implementation of a hierarchical RG technique in a fluctuating geometry model, providing explicit solutions for the RG flow.

## Key findings

- RG equations are solved analytically
- Flow in coupling constant space is explicitly determined
- Method demonstrates effectiveness in models with fluctuating geometry

## Abstract

A recently proposed renormalization group technique, based on the hierarchical structures present in theories with fluctuating geometry, is implemented in the model of branched polymers. The renormalization group equations can be solved analytically, and the flow in coupling constant space can be determined.