FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2004, VOLUME 10, NUMBER 1, PAGES 167-173

Exotic Galileian group in field theory

L. Martina

Abstract

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The exotic Galileian group is realized as a symmetry group of a family of nonrelativistic field theories on the noncommutative plane. This has been obtained in a unique way consistent with the Seiberg--Witten map. The symmetry group of the free model is analyzed and a characterization of the class of the self-interacting theories has been given.

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Last modified: October 25, 2004