Fusing the coordinates of quantum superspace
Peter Bouwknegt, Jim McCarthy, Peter van Nieuwenhuizen
TL;DR
This paper introduces fused quantum superplanes with new relations involving coordinate terms and develops their differential calculus, expanding the mathematical framework for quantum superspaces related to solutions of the Yang-Baxter equation.
Contribution
It presents the concept of fused quantum superplanes with novel relations and constructs their differential calculus, linking to solutions of the Yang-Baxter equation.
Findings
Defined fused quantum superplanes with new coordinate relations
Developed differential calculus for these superplanes
Connected the structures to solutions of the Yang-Baxter equation
Abstract
We introduce the notion of a fused quantum superplane by allowing for terms in the defining relations. We develop the differential calculus for a large class of fused quantum superplanes related to particular solutions of the Yang-Baxter equation.
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