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Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 147, Number 2, Pages 270–289
DOI: https://doi.org/10.4213/tmf1963 (Mi tmf1963) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Deformations of Euclidean supersymmetries

B. M. Zupnik

Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics
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DOI: https://doi.org/10.4213/tmf1963
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
English version:
Theoretical and Mathematical Physics, 2006, Volume 147, Issue 2, Pages 670–686
DOI: https://doi.org/10.1007/s11232-006-0069-6
Bibliographic databases:
Language: Russian
Citation: B. M. Zupnik, “Deformations of Euclidean supersymmetries”, TMF, 147:2 (2006), 270–289; Theoret. and Math. Phys., 147:2 (2006), 670–686
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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