S-Embedding of Lie Superalgebras and Its Implications for Fuzzy Lie Algebras
Abdullah Assiry,
Sabeur Mansour,
Amir Baklouti
Abstract:This paper performed an investigation into the s-embedding of the Lie superalgebra (→S1∣1), a representation of smooth vector fields on a (1,1)-dimensional super-circle. Our primary objective was to establish a precise definition of the s-embedding, effectively dissecting the Lie superalgebra into the superalgebra of super-pseudodifferential operators ( SψD⊙) residing on the super-circle S1|1. We also introduce and rigorously define the central charge within the framework of (→S1∣1), leveraging the canonical c… Show more
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