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Bulgarian Journal of Physics
Print: 1310-0157 Online: 1314-2666
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RECOGNIZED BY THE EUROPEAN PHYSICAL SOCIETY 
Bulg. J. Phys. vol.33 no.s2 (2006), pp. 97-108
Noncommutative Superspaces Covariant under OSpq(1|2) Algebra
N. Aizawa1, R. Chakrabarti2
1Department of Mathematics and Information Sciences, Graduate School of Science, Osaka Prefecture University, Daisen Campus, Sakai, Osaka 590-0035, Jap
2Department of Theoretical Physics, University of Madras, Guindy Campus, Chennai 600 025, India
go back1Department of Mathematics and Information Sciences, Graduate School of Science, Osaka Prefecture University, Daisen Campus, Sakai, Osaka 590-0035, Jap
2Department of Theoretical Physics, University of Madras, Guindy Campus, Chennai 600 025, India
Abstract. Using the corepresentation of the quantum group SLq(2) a general method for constructing noncommutative spaces covariant under its coaction is developed. The method allows us to treat the quantum plane and Podleś’ quantum spheres in a unified way and to construct higher dimensional noncommutative spaces systematically. Furthermore, we extend the method to the quantum supergroup OSpq(1|2). In particular, a one-parameter family of covariant algebras, which may be interpreted as noncommutative superspheres, is constructed.