First (fuzzy) Hopf map from irreps of SU(2)

• Authors: Hossein Fakhri , Mehdi Lotfizadeh
• Languages of publication: EN

Abstracts

EN

Using the spherical basis of the spin-ν operator, together with an appropriate normalized complex (2ν +1)-spinor on S
3 we obtain spin-ν representation of the U(1) Hopf fibration S
3 → S
2 as well as its associated fuzzy version. Also, to realize the first Hopf map via the spherical basis of the spin-1 operator with even winding numbers, we present an appropriate normalized complex three-spinor. We put the winding numbers in one-to-one correspondence with the monopole charges corresponding to different associated complex vector bundles.

Keywords

EN

Hopf fibration; Fuzzy geometry; Matrix models

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 4
• Pages: 474-479

Dates

published

1 - 4 - 2013

online

22 - 5 - 2013

Contributors

author

Hossein Fakhri

• Department of Theoretical Physics and Astrophysics, Faculty of Physics, University of Tabriz, P. O. Box 51666-16471, Tabriz, Iran

author

Mehdi Lotfizadeh

• Department of Physics, Faculty of Science, Urmia University, P. O. Box 165, Urmia, Iran

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Identifiers

DOI

10.2478/s11534-013-0178-4