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
Preview |
Text
DIAS-STP-12-14.pdf Download (237kB) | Preview |
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: | 20 Dec 2022 09:05 |
URI: | https://dair.dias.ie/id/eprint/294 |
Actions (login required)
View Item |
Downloads
Downloads per month over past year