Renormalization group flows and emergent symmetries

TL;DR

This paper explores how renormalization group flows can lead to emergent symmetries, such as supersymmetry, in quantum theories, especially in strong coupling regimes, with potential phenomenological implications.

Contribution

It proposes that RG flows can produce fixed hypersurfaces with exact symmetries, highlighting emergent supersymmetry in non-abelian gauge theories at strong coupling.

Findings

Emergent supersymmetry in non-abelian gauge theories at IR limit.

Fixed hypersurfaces exhibit exact symmetries during RG flow.

Potential phenomenological implications for models like gauge theories and massive gravity.

Abstract

We discuss the following proposition: Renormalization Group flow of quantum theory with a biased symmetry exhibits a fixed hypersurface at which the symmetry is exact. Such emergent symmetries may have important phenomenological implications, including supersymmetric models, gauge theories, and massive gravity. Most interesting example is an emergent supersymmetry in non-abelian gauge theories with appropriate field content, in the IR limit i.e. strong coupling regime.