An extended fuzzy supersphere and twisted chiral superfields
C. Klimcik
TL;DR
This paper introduces a noncommutative algebra for the N=2 fuzzy supersphere, enabling the construction of noncommutative nonlinear sigma-models with extended supersymmetry through a novel automorphism.
Contribution
It presents a new algebraic structure for the N=2 fuzzy supersphere that relates twisted chiral and anti-chiral superfields, facilitating extended supersymmetric models.
Findings
Introduced a noncommutative algebra for N=2 fuzzy supersphere
Identified a nontrivial automorphism linking superfields
Enabled construction of noncommutative sigma-models with extended supersymmetry
Abstract
A noncommutative associative algebra of N=2 fuzzy supersphere is introduced. It turns out to possess a nontrivial automorphism which relates twisted chiral to twisted anti-chiral superfields and hence makes possible to construct noncommutative nonlinear -models with extended supersymmetry.
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