Symplectic structure-free Chern-Simons theory

초록

The second-class constraints algebra of the Abelian Chern-Simons (CS) theory is studied rigorously in terms of Hamiltonian embedding in order to obtain a first-class constraint system. The well known symplectic structure of the CS fields due to the second-class constraints disappears in the resulting system. We then obtain a new type of CS action which has an infinite set of irreducible first-class constraints and exhibits new extended local gauge symmetries implemented by these first-class constraints.

키워드