Real and complex supersymmetric d=1 sigma models with torsions

TL;DR

This paper develops generalized N=2 supersymmetric quantum mechanical sigma models on real and complex manifolds with torsions, analyzing their classical and quantum properties and the impact on vacuum states.

Contribution

It introduces a framework for supersymmetric sigma models with torsions on arbitrary manifolds, extending previous models without torsions.

Findings

Vacuum state count remains unchanged with torsion addition

Models applicable to both real and complex manifolds

Analysis at classical and quantum levels

Abstract

We derive and discuss, at both the classical and the quantum levels, generalized N = 2 supersymmetric quantum mechanical sigma models describing the motion over an arbitrary real or an arbitrary complex manifold with extra torsions. We analyze the relevant vacuum states to make explicit the fact that their number is not affected by adding the torsion terms.