Lagrangian generators of the Poincare gauge symmetries
Rabin Banerjee, Debraj Roy, Saurav Samanta
TL;DR
This paper systematically derives the generators of Poincare gauge symmetries in gravity theories across different dimensions using a purely Lagrangian approach, providing a unified method applicable to various spacetime dimensions.
Contribution
It introduces a Lagrangian-based method for computing Poincare gauge symmetry generators, applicable in both 2+1 and 3+1 dimensions, and demonstrates its generality across dimensions.
Findings
Derived symmetry generators in 2+1 and 3+1 dimensions
Established a dimension-independent Lagrangian approach
Validated results by lifting from lower to higher dimensions
Abstract
We have systematically computed the generators of the symmetries arising in Poincare gauge theory formulation of gravity, both in 2+1 and 3+1 dimensions. This was done using a completely Lagrangian approach. The results are expected to be valid in any dimensions, as seen through lifting the results of the 2+1 dimensional example into the 3+1 dimensional one.
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