Fuzzy Complex Projective Spaces and their Star Products

Balachandran, A. P. and Dolan, Brian P. and Lee, J. and Martin, X. and O'Connor, Denjoe (2001) Fuzzy Complex Projective Spaces and their Star Products. (Preprint)

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Abstract

We derive an explicit expression for an associative *-product on the fuzzy complex projective space, CP_F^(N−1). This generalises previous results for the fuzzy 2-sphere and gives a discrete non-commutative algebra of functions on CP_F^(N−1), represented by matrix multiplication. The matrices are restricted to ones whose dimension is that of the totally symmetric representations of SU(N). In the limit of infinite dimensional matrices we re-are also cover the commutative algebra of functions on CP^(N−1). Derivatives on CP_F^(N−1) expressed as matrix commutators.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 13 Jun 2018 13:08
Last Modified: 15 Dec 2022 08:55
URI: https://dair.dias.ie/id/eprint/440

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