Field Theory on $q=-1$ Quantum Plane

Details Field Theory on $q=-1$ Quantum Plane Field Theory on $q=-1$ Quantum Plane

1995-03-16

arxiv.org/abs/q-alg/9503007v1

Lett.Math.Phys. 39 (1997) 1-8

Mathematics

Quantum Algebra

LaTeX, 10 pages

Scientific paper

We build the $q=-1$ defomation of plane on a product of two copies of algebras
of functions on the plane. This algebra constains a subalgebra of functions on
the plane. We present general scheme (which could be used as well to construct
quaternion from pairs of complex numbers) and we use it to derive differential
structures, metric and discuss sample field theoretical models.

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