Super Triple Systems and Applications to Para-Statistics and Yand-Baxter Equation
S. Okubo
TL;DR
This paper introduces ortho-symplectic super triple systems and applies them to solve the super Yang-Baxter equation, also relating para-statistics to Lie-super triple systems, advancing algebraic structures in mathematical physics.
Contribution
It defines new algebraic structures called ortho-symplectic super triple systems and demonstrates their application to super Yang-Baxter equations and para-statistics.
Findings
Solutions to super Yang-Baxter equation derived
Para-statistics formulated as Lie-super triple systems
New algebraic frameworks established
Abstract
We introduce the notion of ortho-symplectic super triple system, and apply it to find solutions of super Yang-Baxter equation. Also, the para-statistics are formulated as a Lie-super triple system.
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Taxonomy
Topicsadvanced mathematical theories · Random Matrices and Applications · Statistical Mechanics and Entropy