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

References in corpus (2)

• A Gravity Theory on Noncommutative Spaces
• Lorentz-Invariant Interpretation of Noncommutative Space-Time - global version

Cited by in corpus (3)

• Drinfel'd Twisted Superconformal Algebra and Structure of Unbroken Symmetries
• 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