An Example of Poincare Symmetry with a Central Charge

TL;DR

This paper presents a simple, exactly solvable system with a central charge in its Poincare algebra, demonstrating anomaly-free algebra preservation after quantization.

Contribution

It introduces a straightforward model exhibiting a central charge in Poincare symmetry, showing its exact solvability and anomaly-free quantization.

Findings

System has a central charge in Poincare algebra

Model is exactly solvable after quantization

Algebra remains anomaly-free

Abstract

We discuss a simple system which has a central charge in its Poincare algebra. We show that this system is exactly solvable after quantization and that the algebra holds without anomalies.