Tutorial on Scale and Conformal Symmetries in Diverse Dimensions

TL;DR

This paper reviews the relationship between scale and conformal symmetries across different models and dimensions, including a dimensional reduction from relativistic to non-relativistic conformal dynamics.

Contribution

It provides a comprehensive tutorial on how scale and conformal symmetries relate in various dimensions and introduces a dimensional reduction approach.

Findings

Clarifies the connection between scale and conformal symmetries in multiple models.

Demonstrates a dimensional reduction from relativistic to non-relativistic conformal dynamics.

Provides insights into the structure of conformal symmetries across dimensions.

Abstract

We review the relation between scale and conformal symmetries in various models and dimensions. We present a dimensional reduction from relativistic to non-relativistic conformal dynamics.