Non-commutative Zariski geometries and their classical limit

Details Non-commutative Zariski geometries and their classical limit Non-commutative Zariski geometries and their classical limit

2007-07-05

arxiv.org/abs/0707.0780v1

Mathematics

Quantum Algebra

Scientific paper

We undertake a case study of two series of nonclassical Zariski geometries.
We show that these geometries can be realised as representations of certain
noncommutative $C^*$-algebras and introduce a natural limit construction which
for each of the two series produces a classical U(1)-gauge field over a
2-dimensional Riemann surface.

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