Fuzzy CP**2

Alexanian, G.; Balachandran, A.P.; Immirzi, G.; Ydri, B.

doi:10.1016/S0393-0440(01)00070-5

Fuzzy CP**2

G. Alexanian
(
- Syracuse U.
)
,
A.P. Balachandran
(
- Syracuse U.
)
,
G. Immirzi
(
- Perugia U. and
- INFN, Perugia
)
,
B. Ydri
(
- Syracuse U.
)

Mar, 2001

31 pages

Published in:

J.Geom.Phys. 42 (2002) 28-53

e-Print:

hep-th/0103023 [hep-th]

DOI:

10.1016/S0393-0440(01)00070-5

Report number:

SU-4240-730

View in:

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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.

Note:

32 pages,LaTeX; References added and several typos corrected Report-no: SU-4240-730 Subj-class: High Energy Physics - Theory; Quantum Algebra

quantum space: fuzzy
regularization
space: CP(2)
fermion
operator: Dirac
operator: algebra

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Figures(0)

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