# Unification of the K\"ahler-Ricci and Anomaly flows

## TL;DR

This paper introduces a new formulation of the Anomaly flow that unifies it with the K"ahler-Ricci flow, simplifying the dependence on initial data and enhancing understanding of their relationship.

## Contribution

It presents a novel formulation of the Anomaly flow that unifies it with the K"ahler-Ricci flow, focusing on the case of vanishing slope parameter.

## Key findings

- Unified framework for Anomaly and K"ahler-Ricci flows
- Simplified dependence on initial data
- Potential for new insights into geometric flows

## Abstract

A new formulation of the Anomaly flow in the case of vanishing slope parameter is given, where the dependence on the global section of the canonical bundle appears only in the initial data. This allows a natural unification of the Anomaly flow with the K\"ahler-Ricci flow.