Reduced Conformal Symmetry

TL;DR

This paper introduces 2+1 dimensional field theories with multiple conformal symmetries acting on a single spatial direction, extending the concept of subsystem scale invariance related to fractons.

Contribution

It constructs novel field theories exhibiting partial conformal symmetries, expanding the understanding of subsystem scale invariance in lower-dimensional systems.

Findings

Field theories with multiple conformal symmetries in 2+1 dimensions.

Extension of subsystem scale invariance concepts.

Potential connections to fracton physics.

Abstract

We construct field theories in $2+1$ dimensions with multiple conformal symmetries acting on only one of the spatial directions. These can be considered a conformal extension to "subsystem scale invariances", borrowing the language often used for fractons.