Dirac Operator on Fuzzy AdS_2

Details Dirac Operator on Fuzzy AdS_2 Dirac Operator on Fuzzy AdS_2

2003-02-19

arxiv.org/abs/hep-th/0302154v2

JHEP 0303 (2003) 003

Physics

High Energy Physics

High Energy Physics - Theory

latex, 16 pages, no figure, added a reference and minor changes

Scientific paper

10.1088/1126-6708/2003/03/003

In this article we construct the chirality and Dirac operators on noncommutative AdS_2. We also derive the discrete spectrum of the Dirac operator which is important in the study of the spectral triple associated with AdS_2. It is shown that the degeneracy of the spectrum present in the commutative AdS_2 is lifted in the noncommutative case. The way we construct the chirality operator is suggestive of how to introduce the projector operators of the corresponding projective modules on this space.

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