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It is well-known that Einstein gravity can be formulated as a gauge theory of Lorentz group where spin connections play a role of gauge fields and Riemann curvature tensors correspond to their field strengths.
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J. Lee, J. J. Oh and H. S. Yang, J. High Energy Phys. 12
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J. Lee, J. J. Oh and H. S. Yang, An Efficient Representation of Euclidean Gravity II (to appear)
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