Scalar and Spinor Field Actions on Fuzzy S^4: fuzzy CP^3 as a S^2_F bundle over S^4_F

Medina, Julieta and Huet, Idrish and O'Connor, Denjoe and Dolan, Brian P. (2012) Scalar and Spinor Field Actions on Fuzzy S^4: fuzzy CP^3 as a S^2_F bundle over S^4_F. Journal of High Energy Physics, 2012 (8). ISSN 1029-8479

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Official URL: http://doi.org/10.1007/JHEP08(2012)070

Abstract

We present a manifestly Spin(5) invariant construction of squashed fuzzy CP^3 as a fuzzy S^2 bundle over fuzzy S^4. We develop the necessary projectors and exhibit the squashing in terms of the radii of the S^2 and S^4. Our analysis allows us give both scalar and spinor fuzzy action functionals whose low lying modes are truncated versions of those of a commutative S^4.

Item Type: Article
Uncontrolled Keywords: Differential and Algebraic Geometry, Non-Commutative Geometry, Matrix Models
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 05 Oct 2017 19:26
Last Modified: 26 Jul 2018 10:16
URI: http://dair.dias.ie/id/eprint/294

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