Twist of quantum groups and noncommutative field theory
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 19, Tome 335 (2006), pp. 188-204
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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.
@article{ZNSL_2006_335_a9,
author = {P. P. Kulish},
title = {Twist of quantum groups and noncommutative field theory},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {188--204},
publisher = {mathdoc},
volume = {335},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_335_a9/}
}
P. P. Kulish. Twist of quantum groups and noncommutative field theory. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 19, Tome 335 (2006), pp. 188-204. http://geodesic.mathdoc.fr/item/ZNSL_2006_335_a9/