# Multi-critical multi-field models: a CFT approach to the leading order

## TL;DR

This paper uses conformal field theory and Schwinger-Dyson methods to analyze multi-critical multi-field models in dimensions greater than two, providing new insights into their conformal data without relying on symmetries.

## Contribution

It introduces a CFT-based approach to study multi-critical multi-field models at leading order, aligning with RG results and enabling exploration of emergent symmetries.

## Key findings

- Derived conformal data consistent with RG methods
- Established a symmetry-independent framework for analysis
- Facilitated investigation of emergent symmetries in models

## Abstract

We present some general results for the multi-critical multi-field models in d>2 recently obtained using CFT and Schwinger-Dyson methods at perturbative level without assuming any symmetry. Results in the leading non trivial order are derived consistently for several conformal data in full agreement with functional perturbative RG methods. Mechanisms like emergent (possibly approximate) symmetries can be naturally investigated in this framework.