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

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.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000B-789B-0 Version Permalink: https://hdl.handle.net/21.11116/0000-000B-789C-F

Genre: Journal Article

Alternative Title : Journal of High Energy Physics

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Creators:
Brian P. Dolan, Author
Idrish Huet, Author
Murray, Seán^{1, 2}, Author
Denjoe O'Connor, Author

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1Department of Mathematical Physics, NUI Maynooth, Maynooth, Co. Kildare, Ireland, ou_persistent22
2School of Theoretical Physics, Dublin Institute for Advanced Studies, Dublin, Ireland, ou_persistent22

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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.

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Dates: Date issued: 2008

Publication Status: Issued

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Identifiers: URI: https://dx.doi.org/10.1088/1126-6708/2008/03/029

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Title: Journal of High Energy Physics

Source Genre: Journal

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Pages: 029 Volume / Issue: (03) Sequence Number: - Start / End Page: - Identifier: ISBN: 1126-6708