Paragrassmann Extensions of the Virasoro Algebra
A.T.Filippov, A.P.Isaev, A.B.Kurdikov
TL;DR
This paper extends the Virasoro algebra using paragrassmann calculus to develop new paraconformal transformations and generalize the Virasoro-Neveu-Schwarz-Ramond algebras.
Contribution
It introduces paragrassmann extensions of the Virasoro algebra and constructs related paraconformal transformations.
Findings
New paragrassmann-based algebraic structures introduced.
Generalizations of the Virasoro and superconformal algebras achieved.
Potential applications in supersymmetric and conformal field theories.
Abstract
The paragrassmann calculus proposed earlier is applied to constructing paraconformal transformations and paragrassmann generalizations of the Virasoro-Neveu-Schwarz-Ramond algebras.
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