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

Abstract

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.

Authors:
Publication Date:
OSTI Identifier:
22617468
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics; Journal Volume: 377; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COUPLING CONSTANTS; NONLINEAR PROBLEMS; QUANTIZATION; QUANTUM SYSTEMS; SUPERSYMMETRY

Citation Formats

Plyushchay, Mikhail S., E-mail: mikhail.plyushchay@usach.cl. Schwarzian derivative treatment of the quantum second-order supersymmetry anomaly, and coupling-constant metamorphosis. United States: N. p., 2017. Web. doi:10.1016/J.AOP.2016.12.003.
Plyushchay, Mikhail S., E-mail: mikhail.plyushchay@usach.cl. Schwarzian derivative treatment of the quantum second-order supersymmetry anomaly, and coupling-constant metamorphosis. United States. doi:10.1016/J.AOP.2016.12.003.
Plyushchay, Mikhail S., E-mail: mikhail.plyushchay@usach.cl. Wed . "Schwarzian derivative treatment of the quantum second-order supersymmetry anomaly, and coupling-constant metamorphosis". United States. doi:10.1016/J.AOP.2016.12.003.
@article{osti_22617468,
title = {Schwarzian derivative treatment of the quantum second-order supersymmetry anomaly, and coupling-constant metamorphosis},
author = {Plyushchay, Mikhail S., E-mail: mikhail.plyushchay@usach.cl},
abstractNote = {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.},
doi = {10.1016/J.AOP.2016.12.003},
journal = {Annals of Physics},
number = ,
volume = 377,
place = {United States},
year = {Wed Feb 15 00:00:00 EST 2017},
month = {Wed Feb 15 00:00:00 EST 2017}
}