A universal Dirac operator and noncommutative spin bundles over fuzzy complex 
projective spaces

Brian P. Dolan,; Idrish Huet,; Murray, Seán; Denjoe O'Connor,

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A universal Dirac operator and noncommutative spin bundles over fuzzy complex projective spaces

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Brian P. Dolan, Idrish Huet, Murray, S., & Denjoe O'Connor (2008). A universal Dirac operator and noncommutative spin bundles over fuzzy complex projective spaces. Journal of High Energy Physics, (03). Retrieved from https://dx.doi.org/10.1088/1126-6708/2008/03/029.

Cite as: https://hdl.handle.net/21.11116/0000-000B-789B-0

Abstract

We present a universal Dirac operator for noncommutative spin and spinc bundles over fuzzy complex projective spaces. We give an explicit construction of these bundles, which are described in terms of finite dimensional matrices, calculate the spectrum and explicitly exhibit the Dirac eigenspinors. To our knowledge the spinc spectrum for ℂℙn with n ⩾ 3 is new.