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The Chern-Simons state for topological invariants

Abstract : The covariant canonical formalism for the second Chern and Euler topological invariants which depends of a connection valued in the Lie algebra of SO(3,1) is performed. We show that the Chern-Simons state corresponds to an eigenfunction of zero energy for such characteristic classes, in particular, for the Euler class within self-dual (or anti-self-dual) scenario. In addition, to complete our analysis we develop the Hamiltonian analysis for the theories under study, obtaining a best description of the results obtained with the symplectic method.
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https://hal.archives-ouvertes.fr/hal-03743104
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Submitted on : Thursday, September 22, 2022 - 1:21:08 PM
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Alberto Escalante. The Chern-Simons state for topological invariants. Physics Letters B, Elsevier, 2009, 676, pp.105-111. ⟨10.1016/j.physletb.2009.04.052⟩. ⟨hal-03743104⟩

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