On the Calculability of Observables in Topological Quantum Mechanical Models

TL;DR

This paper investigates a superconformal quantum mechanical system with topological invariance, computing observables and highlighting unique features like the absence of a ground state and mass gap.

Contribution

It introduces a superconformal quantum mechanical model with BRST topological invariance and computes its topological observables, emphasizing its distinctive properties.

Findings

Identification of topological observables in the model

Absence of ground state and mass gap in the system

Validation of topological invariance through explicit computation

Abstract

We consider a superconformal quantum mechanical system which has been chosen on the basis of a local BRST topological invariance. We suggest that it truly leads to topological observables which we compute. The absences of a ground state and of a mass gap are special features of this system.