Local field theory construction of Very Special Conformal Symmetry

TL;DR

This paper demonstrates the construction of local field theories with Very Special Conformal Symmetry using non-linear realization and topological twist, and provides holographic models to illustrate these methods.

Contribution

It introduces novel local constructions of VSCFTs via non-linear realization and topological twist, challenging prior no-go results.

Findings

Successful local constructions of VSCFTs using non-linear realization.

Linear realization achieved through topological twist at the expense of unitarity.

Development of holographic models supporting these constructions.

Abstract

Cohen and Glashow argued that very special conformal field theories of a particular kind (i.e. with HOM(2) or SIM(2) invariance) cannot be constructed within the framework of local field theories. We, however, show examples of local construction by using non-linear realization. We further construct linear realization from the topological twist at the cost of unitarity. To demonstrate the ubiquity of our idea, we also present corresponding holographic models.