Twists of quantum groups and noncommutative field theory

P. P. Kulish

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arXiv · hep-th/0606056

Twists of quantum groups and noncommutative field theory

P. P. Kulish

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Abstract

The role of quantum universal enveloping algebras of symmetries in constructing a noncommutative geometry of space-time and corresponding field theory is discussed. It is shown that in the framework of the twist theory of quantum groups, the noncommutative (super) space-time defined by coordinates with Heisenberg commutation relations, is (super) Poincaré invariant, as well as the corresponding field theory. Noncommutative parameters of global transformations are introduced.

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P. P. Kulish. 2006-06-07. Twists of quantum groups and noncommutative field theory. https://arxiv.org/abs/hep-th/0606056

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