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Wigner's little group, gauge transformations and dimensional descent

Rabin Banerjee and Biswajit Chakraborty

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We propose a technique called dimensional descent to show that Wigner's little group for massless particles, which acts as a generator of gauge transformation for usual Maxwell theory, has an identical role even for topologically massive gauge theories. The examples of B wedge F theory and Maxwell–Chern–Simons theory are analysed in detail.


PACS

11.15.-q Gauge field theories

02.10.Yn Matrix theory

02.20.Uw Quantum groups

MSC

81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)

81R50 Quantum groups and related algebraic methods (See also 16W35, 17B37)

Subjects

Mathematical physics

Particle physics and field theory

Dates

Issue 9 (8 March 2002)

Received 20 July 2001, in final form 3 January 2002

Published 22 February 2002



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