MaxwellChernSimons theory with a boundary

A Blasi (1, 2) , N Maggiore (1, 2) , N Magnoli (1, 2) , S Storace (3)

1 Dipartimento di Fisica
2 Sezione di Genova
3 Department of Physics [New York]

The Maxwell-Chern-Simons (MCS) theory with planar boundary is considered. The boundary is introduced according to Symanzik's basic principles of locality and separability. A method of investigation is proposed, which, avoiding the straight computation of correlators, is appealing for situations where the computation of propagators, modified by the boundary, becomes quite complex. For MCS theory, the outcome is that a unique solution exists, in the form of chiral conserved currents, satisfying a Ka-Moody algebra, whose central charge does not depend on the Maxwell term.

Mots clés: Quantum Field Theory; Boundary Conditions; Boundary Algebra

A Blasi, N Maggiore, N Magnoli, S Storace. MaxwellChernSimons theory with a boundary. Classical and Quantum Gravity, 2010, 27 (16), pp.165018. ⟨10.1088/0264-9381/27/16/165018⟩. ⟨hal-00616259⟩