The Star Product on the Fuzzy Supersphere

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2002-07-01

Author

BALACHANDRAN, A P
Kürkcüoğlu, Seçkin
ROJAS, Efrain

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The fuzzy supersphere S-F((2,2)) is a finite-dimensional matrix approximation to the supersphere S-(2,S-2) incorporating supersymmetry exactly. Here the star-product of functions on S-F((2,2)) is obtained by utilizing the OSp(2,1) coherent states. We check its graded commutative limit to S-(2,S-2) and extend it to fuzzy versions of sections of bundles using the methods of [1]. A brief discussion of the geometric structure of our star-product completes our work.

Subject Keywords

Discrete and finite symmetries, Superspaces, Differential and algebraic geometry, Non-commutative geometry

URI

https://hdl.handle.net/11511/42540

Journal

JOURNAL OF HIGH ENERGY PHYSICS

DOI

https://doi.org/10.1088/1126-6708/2002/07/056

Collections

Department of Physics, Article

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Citation Formats

A. P. BALACHANDRAN, S. Kürkcüoğlu, and E. ROJAS, “The Star Product on the Fuzzy Supersphere,” JOURNAL OF HIGH ENERGY PHYSICS, pp. 56–56, 2002, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/42540.