Fuzzy CP2

dc.creator	Alexanian, G.
dc.creator	Balachandran, A. P.
dc.creator	Immirzi, G.
dc.creator	Ydri, B.
dc.date	2001-03-05
dc.date	2001-04-11
dc.date.accessioned	2026-07-07T11:09:59Z
dc.date.available	2026-07-07T11:09:59Z
dc.description	Regularization of quantum field theories (QFT's) can be achieved by quantizing the underlying manifold (spacetime or spatial slice) thereby replacing it by a non-commutative matrix model or a ``fuzzy manifold''. Such discretization by quantization is remarkably successful in preserving symmetries and topological features, and altogether overcoming the fermion-doubling problem. In this paper, we report on our work on the ``fuzzification'' of the four-dimensional CP2 and its QFT's. CP2 is not spin, but spin${}_c$. Its Dirac operator has many unique features. They are explained and their fuzzy versions are described.
dc.description	32 pages,LaTeX; References added and several typos corrected
dc.identifier	https://arxiv.org/abs/hep-th/0103023
dc.identifier	http://arxiv.org/abs/hep-th/0103023
dc.identifier	J.Geom.Phys.42:28-53,2002
dc.identifier	doi:10.1016/S0393-0440(01)00070-5
dc.identifier.uri	http://salesiana.dossiersoluciones.com/handle/123456789/190658
dc.subject	High Energy Physics - Theory
dc.subject	General Relativity and Quantum Cosmology
dc.subject	High Energy Physics - Lattice
dc.subject	Quantum Algebra
dc.title	Fuzzy CP2
dc.type	text

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