Quantization of systems with $OSp(2|2)$ symmetry

TL;DR

This paper investigates the quantization of systems with $OSp(2|2)$ symmetry, involving fields with different norms and statistics, and introduces novel fermionic symmetries to ensure unitarity.

Contribution

It presents a new approach to quantizing systems with $OSp(2|2)$ symmetry, incorporating unique fermionic symmetries beyond traditional supersymmetry and BRST.

Findings

Unitarity maintained through subsidiary conditions.

Introduction of novel fermionic symmetries.

Framework applicable to systems with mixed norm and statistics.

Abstract

We study the quantization of systems that contain both ordinary fields with a positive norm and their counterparts obeying different statistics. The systems have novel fermionic symmetries different from the space-time supersymmetry and the BRST symmetry. The unitarity of systems holds by imposing subsidiary conditions on states.