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Field Theory on a q = −1 Quantum Plane

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Abstract.

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

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Authors and Affiliations

  1. Department of Theoretical Physics, Institute of Physics, Jagiellonian University, Reymonta 4, 30-059, Kraków, Poland

    Andrzej Sitarz

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  1. Andrzej Sitarz
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Correspondence to Andrzej Sitarz.

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Mathematics Subject Classifications (1991):46L87, 81T13, 17B37.

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Sitarz, A. Field Theory on a q = −1 Quantum Plane. Lett Math Phys 39, 1–8 (1997). https://doi.org/10.1007/s11005-997-7014-y

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  • DOI: https://doi.org/10.1007/s11005-997-7014-y

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