# Solving Conformal Field Theories with Artificial Intelligence

**Authors:** Gergely Kántor, Vasilis Niarchos, Constantinos Papageorgakis  
**arXiv:** [2108.08859](https://arxiv.org/abs/2108.08859)  
**Date:** 2021-08-19  
**Summary page:** https://www.summarizepaper.com/fr/paper/2108.08859v1/

## Abstract

In this paper we deploy for the first time Reinforcement-Learning algorithms in the context of the conformal-bootstrap programme to obtain numerical solutions of conformal field theories (CFTs). As an illustration, we use a soft Actor-Critic algorithm and find approximate solutions to the truncated crossing equations of two-dimensional CFTs, successfully identifying well-known theories like the 2D Ising model and the 2D CFT of a compactified scalar. Our methods can perform efficient high-dimensional searches that can be used to study arbitrary (unitary or non-unitary) CFTs in any spacetime dimension.