Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-05-02
Class.Quant.Grav. 19 (2002) 4445-4462
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 22 pages, no figures, To appear in Class. Quant. Grav
Scientific paper
10.1088/0264-9381/19/16/315
We show that the translational subgroup of Wigner's little group for massless particles in 3+1 dimensions generate gauge transformation in linearized Einstein gravity. Similarly a suitable representation of the 1-dimensional translational group T(1) is shown to generate gauge transformation in the linearized Einstein-Chern-Simons theory in 2+1 dimensions. These representations are derived systematically from appropriate representations of translational groups which generate gauge transformations in gauge theories living in spacetime of one higher dimension by the technique of dimensional descent. The unified picture thus obtained is compared with a similar picture available for vector gauge theories in 3+1 and 2+1 dimensions. Finally, the polarization tensor of Einstein-Pauli-Fierz theory in 2+1 dimensions is shown to split into the polarization tensors of a pair of Einstein-Chern-Simons theories with opposite helicities suggesting a doublet structure for Einstein-Pauli-Fierz theory.
Chakraborty Biswajit
Scaria Tomy
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