Canonical Analysis of Non-Relativistic Particle and Superparticle
J. Kluson
TL;DR
This paper conducts a canonical analysis of non-relativistic particles and superparticles in Newton-Cartan backgrounds, identifying their constraint structures and the generator of -symmetry, advancing understanding of non-relativistic supersymmetric systems.
Contribution
It extends canonical analysis to non-relativistic superparticles in Newton-Cartan backgrounds, revealing their constraints and -symmetry generators for the first time.
Findings
Constraint structures of non-relativistic particles and superparticles are characterized.
The generator of -symmetry is explicitly constructed.
The analysis provides a foundation for quantization of non-relativistic supersymmetric systems.
Abstract
We perform canonical analysis of non-relativistic particle in Newton-Cartan Background. Then we extend this analysis to the case of non-relativistic superparticle in the same background. We determine constraints structure of this theory and find generator of \kappa-symmetry.
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