# 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

- Mathematics
- 2004

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

- Mathematics, Physics
- 2002

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

- Physics, Geology
- 2005

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

- Physics
- 2002

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

- Physics
- 2005

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…

### Author index with titles

- Physics
- 2002

The PDF file provided contains web links to all articles in this volume.

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