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arXiv · 1110.4185

SU(2) gauge theory of gravity with topological invariants

Sandipan Sengupta
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Abstract

The most general gravity Lagrangian in four dimensions contains three topological densities, namely Nieh-Yan, Pontryagin and Euler, in addition to the Hilbert-Palatini term. We set up a Hamiltonian formulation based on this Lagrangian. The resulting canonical theory depends on three parameters which are coefficients of these terms and is shown to admit a real SU(2) gauge theoretic interpretation with a set of seven first-class constraints. Thus, in addition to the Newton's constant, the theory of gravity contains three (topological) coupling constants, which might have non-trivial imports in the quantum theory.

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Sandipan Sengupta. 2011-10-19. SU(2) gauge theory of gravity with topological invariants. https://doi.org/10.1088/1742-6596/360/1/012024

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