Schwarzian derivative treatment of the quantum second-order supersymmetry anomaly, and coupling-constant metamorphosis

Journal Article · Wed Feb 15 00:00:00 EST 2017 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2016.12.003· OSTI ID:22617468

Plyushchay, Mikhail S., E-mail: [e-mail]

A canonical quantization scheme applied to a classical supersymmetric system with quadratic in momentum supercharges gives rise to a quantum anomaly problem described by a specific term to be quadratic in Planck constant. We reveal a close relationship between the anomaly and the Schwarzian derivative, and specify a quantization prescription which generates the anomaly-free supersymmetric quantum system with second order supercharges. We also discuss the phenomenon of a coupling-constant metamorphosis that associates quantum systems with the first-order supersymmetry to the systems with the second-order supercharges.

• OSTI ID: 22617468
• Journal Information: Annals of Physics, Vol. 377; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COUPLING CONSTANTS
NONLINEAR PROBLEMS
QUANTIZATION
QUANTUM SYSTEMS
SUPERSYMMETRY