Deformations of Euclidean Supersymmetries

Abstract

We consider quantum supergroups that arise in non-anticommutative deformations of N=(1/2,1/2) and N=(1,1) four-dimensional Euclidean supersymmetric theories. Twist operators in the corresponding deformed algebras of superfields contain left spinor generators. We show that non-anticommutative $\star$-products of superfields transform covariantly in the deformed supersymmetries. This covariance guarantees the invariance of deformed superfield actions of models involving $\star$-products of superfields.

Latex file, 19 pages; v.2 corrected version, reference added

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Cited by in corpus (4)

• Drinfel'd Twisted Superconformal Algebra and Structure of Unbroken Symmetries
• N=1/2 Deformations of Chiral Superspaces from New Quantum Poincare and Euclidean Superalgebras
• Non-singlet Q-deformed N=(1,0) and N=(1,1/2) U(1) actions
• Aspects of Twistor Geometry and Supersymmetric Field Theories within Superstring Theory