Poisson superalgebras and quantization
Marco A. S. Trindade
TL;DR
This paper explores the connection between Poisson superalgebras and quantization, focusing on Dirac superbrackets and the existence of Poisson supermanifolds in deformation quantization.
Contribution
It introduces new relationships between Poisson superalgebras and quantization, particularly in the context of constrained systems and supermanifold structures.
Findings
Existence of Poisson supermanifolds in deformation quantization
Relationship between Dirac superbrackets and quantization of constrained systems
Identification of Poisson superalgebras related to quantization schemes
Abstract
In this work, we find the Poisson superalgebras related to schemes of quantization. Initially, we consider the Dirac superbracket in the context of the quantization of constrained systems. Next, we show the existence of a Poisson supermanifold in the scenario of quantization deformation.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Rings, Modules, and Algebras