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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2006 Volume 147, Number 2, Pages 270–289 (Mi tmf1963)

This article is cited in 3 papers

Deformations of Euclidean supersymmetries

B. M. Zupnik

Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics

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

Keywords: supersymmetry, superspace, deformation, twist.

Received: 02.09.2005

DOI: 10.4213/tmf1963


 English version:
Theoretical and Mathematical Physics, 2006, 147:2, 670–686

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