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The Star Product on the Fuzzy Supersphere
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Date
2002-07-01
Author
BALACHANDRAN, A P
Kürkcüoğlu, Seçkin
ROJAS, Efrain
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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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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.