A What is the Spin Connection Equation for Gauging the Poincare Group?

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Dear All
in the idea of gauging Poincare group i am trying to find the equation of motion of the spin connection w_mu^ab using Euler Lagrange equation. but it seems that i am not getting the same terms
can i have a help. I know that this equation is equivalent to the torsionless condition, but i want to get it in the other way starting from the action and applying euler lagrange.
thank you
 
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The appendix of the paper `Actions for Gravity ...' by Peldan may can help you.
 
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