First (fuzzy) Hopf map from irreps of SU(2)
Keyword(s):
Hopf Map
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AbstractUsing 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.
2019 ◽
Vol 371
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pp. 921-973
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1989 ◽
Vol 21
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pp. 104-106
1983 ◽
Vol 16
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pp. 279-286
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2014 ◽
Vol 29
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pp. 569-579
2006 ◽
Vol 49
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pp. 36-40
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1988 ◽
Vol 38
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pp. 345-349