Duality and Central Charges in Supersymmetric Quantum Mechanics

TL;DR

This paper explores a class of supersymmetric quantum mechanical models with non-zero central charges that exhibit target-space duality, providing insights into background geometry restrictions inspired by string theory analogies.

Contribution

It introduces a new class of point-particle models with target-space duality arising from supersymmetric quantum mechanics with central charges.

Findings

Identification of target-space duality in certain supersymmetric models

Connection between central charges and duality mechanisms

Speculation on background geometry restrictions inspired by string theory

Abstract

We identify a class of point-particle models that exhibit a target-space duality. This duality arises from a construction based on supersymmetric quantum mechanics with a non-vanishing central charge. Motivated by analogies to string theory, we are led to speculate regarding mechanisms for restricting the background geometry.