Asymptotic safety with Majorana fermions and new large N equivalences

TL;DR

This paper introduces new asymptotically safe quantum field theories involving Majorana fermions and explores novel large N equivalences and dualities among different gauge theories, impacting conformal field theory and orbifold reductions.

Contribution

It uncovers new classes of asymptotically safe theories and establishes large N equivalences and dualities among various gauge theories with different matter content.

Findings

Discovery of massless theories with weakly interacting UV fixed points

Identification of a triality among asymptotically safe theories

Dualities between different matter-gauge theories with identical fixed points

Abstract

Using Majorana fermions and elementary mesons we find new massless quantum field theories with weakly interacting ultraviolet fixed points. We also find new classes of large N equivalences amongst SU, SO and Sp gauge theories with different types of matter fields and Yukawa interactions. Results include a triality of asymptotically safe theories and dualities between asymptotically free matter-gauge theories with identical fixed points, phase diagrams, and scaling exponents. Implications for conformal field theory and orbifold reductions are indicated.