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arXiv · hep-th/0103023

Fuzzy CP2

G. Alexanian·A. P. Balachandran·G. Immirzi·B. Ydri
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Abstract

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.

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G. Alexanian, A. P. Balachandran, G. Immirzi, B. Ydri. 2001-04-11. Fuzzy CP2. https://doi.org/10.1016/s0393-0440(01)00070-5

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