Barbero G., J. FernandoDíaz Jiménez, BogarMargalef Bentabol, JuanSánchez Villaseñor, Eduardo Jesús2023-02-072023-02-072022-07-15Barbero G., J. F., Díaz, B., Margalef-Bentabol, J. & Villaseñor, E. J. (2022). Edge observables of the Maxwell-Chern-Simons theory. Physical Review D, 106(2), 025011.2470-0010https://hdl.handle.net/10016/36493We analyze the Lagrangian and Hamiltonian formulations of the Maxwell-Chern-Simons theory defined on a manifold with boundary for two different sets of boundary equations derived from a variational principle. We pay special attention to the identification of the infinite chains of boundary constraints and their resolution. We identify edge observables and their algebra [which corresponds to the well-known U (1) Kac-Moody algebra]. Without performing any gauge fixing, and using the Hodge-Morrey theorem, we solve the Hamilton equations whenever possible. In order to give explicit solutions, we consider the particular case in which the fields are defined on a 2-disk. Finally, we study the Fock quantization of the system and discuss the quantum edge observables and states.14eng© American Physical Society, 2022.Atribución 3.0 Españaresearch articleEstadísticaFísicaIngeniería IndustrialMatemáticasMaterialesQuímicahttps://doi.org/10.1103/PhysRevD.106.025011open access025011-12025011-14Physical Review D106AR/0000031037