Twists of quantum groups and noncommutative field theory |
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| Authors: | P P Kulish |
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| Institution: | (1) St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia;(2) Helsinki Institute of Physics, University of Helsinki, Finland;(3) High Energy Physics Division, Department of Physical Sciences, University of Helsinki, Finland |
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| Abstract: | We discuss the role of quantum universal enveloping algebras of symmetries in constructing the noncommutative geometry of
space-time and the corresponding field theory. 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. Bibliography:
30 titles.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 335, 2006, pp. 188–204. |
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