Finiteness, duality, and fermionic symmetry

TL;DR

This paper introduces a novel framework for finite field theories leveraging a hidden duality between ultra-violet and infra-red regimes, ensuring no radiative corrections at certain scales, and linking physical parameters through underlying fermionic symmetries.

Contribution

It proposes a new class of finite field theories based on duality and fermionic symmetry, providing a basis for models with radiative correction protection.

Findings

Physical quantities are free from radiative corrections at the duality fixed point.

Models exhibit relations among parameters reflecting underlying fermionic symmetry.

The framework is compatible with testable indirect predictions.

Abstract

We propose a framework for a new type of finite field theories based on a hidden duality between an ultra-violet and an infra-red region. Physical quantities do not receive radiative corrections at a fundamental scale or the fixed point of the duality transformation, and this feature is compatible with models possessing a specific fermionic symmetry. Theories can be tested indirectly by relations among parameters, reflecting underlying symmetries.