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

Mikhail S. Plyushchay

doi:10.1016/j.aop.2016.12.003

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arXiv · 1602.02179

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

Mikhail S. Plyushchay

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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 metarmorphosis that associates quantum systems with first-order supersymmetry to the systems with the second-order supercharges.

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hep-th math-ph math.MP nlin.SI quant-ph

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Mikhail S. Plyushchay. 2016-02-05. Schwarzian derivative treatment of the quantum second-order supersymmetry anomaly, and coupling-constant metamorphosis. https://doi.org/10.1016/j.aop.2016.12.003

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