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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 138, Number 1, Pages 104–115
DOI: https://doi.org/10.4213/tmf8 (Mi tmf8) 		 
$N=4$ Superconformal Algebra in Curved Space and Pseudo–Hyper–Kähler Geometry

A. V. Galazhinsky, A. N. Myagkiy

Tomsk Polytechnic University
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DOI: https://doi.org/10.4213/tmf8
Abstract: We construct the representation of the small $N=4$ superconformal algebra in curved space under the minimal interaction assumption. We find that the structure relations of the algebra are satisfied within our assumption in the background of the metric of a pseudo–hyper–Kähler manifold.
Keywords: superconformal algebra, pseudo–hyper–Kähler geometry.
Received: 10.11.2002
Revised: 11.02.2003
English version:
Theoretical and Mathematical Physics, 2004, Volume 138, Issue 1, Pages 88–97
DOI: https://doi.org/10.1023/B:TAMP.0000010636.12320.7f
Bibliographic databases:
Language: Russian
Citation: A. V. Galazhinsky, A. N. Myagkiy, “$N=4$ Superconformal Algebra in Curved Space and Pseudo–Hyper–Kähler Geometry”, TMF, 138:1 (2004), 104–115; Theoret. and Math. Phys., 138:1 (2004), 88–97
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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