Very Special Conformal Field Theories (VSCFT) and their holographic duals

TL;DR

This paper explores a new class of conformal field theories with very special conformal symmetry, classifies their structures, and constructs both field theory models and holographic duals, expanding the understanding of non-standard symmetries in physics.

Contribution

It introduces and classifies very special conformal symmetries, providing explicit field theory examples and holographic duals, thus extending the framework of conformal field theories.

Findings

Classification of very special conformal symmetries

Construction of field theory models with these symmetries

Holographic duals for the new conformal theories

Abstract

Cohen and Glashow introduced the notion of very special relativity as viable space-time symmetry of elementary particle physics. As a natural generalization of their idea, we study the subgroup of the conformal group, dubbed very special conformal symmetry, which is an extension of the very special relativity. We classify all of them and construct field theory examples as well as holographic realization of the very special conformal field theories.