Duality and Central Charges in Supersymmetric Quantum Mechanics

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.

10 pages, 1 figure, latex

References in corpus (5)

• Supersymmetry and Quantum Mechanics
• An Introduction to T-Duality in String Theory
• A Bogomol`nyi equation for intersecting domain walls
• Energy, Central Charge, and the BPS Bound for 1+1 Dimensional Supersymmetric Solitons
• Tiling with almost-BPS states

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• Double-Graded Supersymmetric Quantum Mechanics
• On Graph-Theoretic Identifications of Adinkras, Supersymmetry Representations and Superfields
• Topology Types of Adinkras and the Corresponding Representations of N-Extended Supersymmetry
• A BPS Interpretation of Shape Invariance
• A Journey Through Garden Algebras
• Central Charges and Extra Dimensions in Supersymmetric Quantum Mechanics
• Extended supersymmetry with central charges in Dirac action with curved extra dimensions
• Extended supersymmetry with central charges in higher dimensional Dirac action
• $\mathcal{N}=2$ Supersymmetry with Central Charge: A Twofold Implementation
• Unidexterously Constrained Worldsheet Superfields