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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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