Scalar and spinor field actions on fuzzy S4: fuzzy CP3 as a S2F bundle over S4F

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Medina, Julieta, Huet, Idrish, O'Connor, Denjoe and Dolan, Brian P. (2012) Scalar and spinor field actions on fuzzy S4: fuzzy CP3 as a S2F bundle over S4F. Journal of High Energy Physics, 70. ISSN 1126-6708

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Abstract

We present a manifestly Spin(5) invariant construction of s quashed fuzzy CP3 as a fuzzy S2 bundle over fuzzy S4 . We develop the necessary projectors and exhibit the squashing in terms of the radii of the S2 and S4 . Our analysis allows us give both scalar and spinor fuzzy action functionals whose low lying modes are truncated versions of those of a commutative S4 .

Item Type:	Article
Keywords:	Matrix Models; Non-Commutative Geometry; Differential and Algebraic Geometry; Field Theories in Higher Dimensions;
Academic Unit:	Faculty of Science and Engineering > Mathematical Physics
Item ID:	4244
Depositing User:	Dr. Brian Dolan
Date Deposited:	11 Mar 2013 16:41
Journal or Publication Title:	Journal of High Energy Physics
Publisher:	Institute of Physics
Refereed:	Yes
Related URLs:	Publisher
URI:	https://mu.eprints-hosting.org/id/eprint/4244
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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Scalar and spinor field actions on fuzzy S4: fuzzy CP3 as a S2F bundle over S4F

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