TL;DR
This paper uses geometric methods to analyze star-products, focusing on their Fourier kernels, associativity, and symmetries, including variants and supersymmetrization, providing clearer insights into their structure.
Contribution
It introduces a geometric approach to evaluate star-products and their variants, enhancing understanding of their associativity and symmetry properties.
Findings
Simplified evaluation of star-product chains
Clearer understanding of associativity and symmetries
Extension to asymmetric and supersymmetric star-products
Abstract
The geometric picture of the star-product based on its Fourier representation kernel is utilized in the evaluation of chains of star-products and the intuitive appreciation of their associativity and symmetries. Such constructions appear even simpler for a variant asymmetric product, and carry through for the standard star-product supersymmetrization.
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