Asymptotic safety guaranteed in supersymmetry

TL;DR

This paper demonstrates how asymptotic safety can be realized in four-dimensional supersymmetric gauge theories, providing explicit examples with detailed phase diagrams and fixed points, and showing supersymmetry enhances their predictivity.

Contribution

It introduces explicit asymptotically safe supersymmetric gauge theories with superconformal fixed points and analyzes their phase structure and trajectories, under perturbative control.

Findings

Asymptotic safety is achievable in 4D supersymmetric gauge theories.

Supersymmetry enhances the predictivity of asymptotically safe models.

Theories satisfy unitarity and the a-theorem constraints.

Abstract

We explain how asymptotic safety arises in four-dimensional supersymmetric gauge theories. We provide asymptotically safe supersymmetric gauge theories together with their superconformal fixed points, R-charges, phase diagrams, and UV-IR connecting trajectories. Strict perturbative control is achieved in a Veneziano limit. Consistency with unitarity and the a-theorem is established. We find that supersymmetry enhances the predictivity of asymptotically safe theories.