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## Main Question or Discussion Point

In LQG the canonical variables are a SU(2) connection A, and the "electric" field E, such that they form a canonical pair, i.e., {A,E}=1. But the constraints that generates diffeomorphisms contains also the variable K (extrinsic curvature). My question is, is this variable an independent one? if yes, which one is its canonically conjugate momentum? How can I compute the algebra of constraints with K? Is this a composed variable in the sense that K=K[A,E]?

I know this questions seems to be out of topic because is a text book question, but anyway, if someone can help, I'll be grateful.

Z.

I know this questions seems to be out of topic because is a text book question, but anyway, if someone can help, I'll be grateful.

Z.