TL;DR
This paper reviews quantum group symmetries and their anomalies, illustrating the concept with the harmonic oscillator's non-commutative anomalous quantum group symmetry.
Contribution
It provides a concise review of quantum group anomalies and demonstrates their manifestation in the harmonic oscillator model.
Findings
Harmonic oscillator exhibits a non-commutative, non-cocommutative quantum group anomaly.
Quantum group symmetries can be simply illustrated and understood through standard models.
The paper clarifies the concept of anomalies within quantum group symmetries.
Abstract
This is a very brief but selfcontained review of the concept of quantum group symmetries and their anomalies. Remarkably, general constructions can be very simply illustrated on the standard harmonic oscillator which is shown to possess a non-commutative and non-cocommutative anomalous quantum group symmetry.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Quantum Mechanics and Non-Hermitian Physics · Quantum Mechanics and Applications