Wigner's little group as a gauge generator in linearized gravity theories

@article{Scaria2002WignersLG,
  title={Wigner's little group as a gauge generator in linearized gravity theories},
  author={Tomy Scaria and Biswajit Chakraborty},
  journal={Classical and Quantum Gravity},
  year={2002},
  volume={19},
  pages={4445-4462}
}
We show that the translational subgroup of Wigner's little group for massless particles in 3 + 1 dimensions generates gauge transformation in linearized Einstein gravity. Similarly, a suitable representation of the one-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… 
6 Citations

WIGNER'S LITTLE GROUP AND BRST COHOMOLOGY FOR ONE-FORM ABELIAN GAUGE THEORY

We discuss the (dual-)gauge transformations for the gauge-fixed Lagrangian density and establish their intimate connection with the translation subgroup T(2) of Wigner's little group for the free

Gauge Transformations, BRST Cohomology and Wigner's Little Group

We discuss the (dual-)gauge transformations and BRST cohomology for the two (1+1)-dimensional (2D) free Abelian one-form and four (3+1)-dimensional (4D) free Abelian two-form gauge theories by

LINEARIZED GRAVITY AS A GAUGE THEORY

We discuss linearized gravity from the point of view of a gauge theory. In (3+1) dimensions our analysis allows to consider linearized gravity in the context of the MacDowell–Mansouri formalism. Our

Wigner's little group as a generator of gauge transformations

The role of Wigner’s little group, as an Abelian gauge generator in usual and topologically massive gauge theories, is studied.

Rotations associated with Lorentz boosts

It is possible to associate two angles with two successive non-collinear Lorentz boosts. If one boost is applied after the initial boost, the result is the final boost preceded by a rotation called

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It is perhaps the most fundamental principle of Quantum Mechanics that the system of states forms a linear manifold,1 in which a unitary scalar product is defined.2 The states are generally