RT Journal Article
T1 Edge observables of the Maxwell-Chern-Simons theory
A1 Barbero G., J. Fernando
A1 Díaz Jiménez, Bogar
A1 Margalef Bentabol, Juan
A1 Sánchez Villaseñor, Eduardo Jesús
AB We 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.
PB American Physical Society (APS)
SN 2470-0010
YR 2022
FD 2022-07-15
LK https://hdl.handle.net/10016/36493
UL https://hdl.handle.net/10016/36493
LA eng
NO This work has been supported by the Spanish Ministerio de Ciencia Innovación y Universidades-Agencia Estatal de Investigación PID2020-116567GB-C22 grant. B. D. acknowledges support from the CONEX-Plus program funded by Universidad Carlos III de Madrid and the European Union's Horizon 2020 research and innovation program under the Marie Sklodowska-Curie Grant Agreement No. 801538. J. M.-B. is supported by the AARMS postdoctoral fellowship, by the NSERC Discovery Grant No. 2018-04873, and the NSERC Grant No. RGPIN-2018-04887. E. J. S. V. is supported by the Madrid Government (Comunidad de Madrid-Spain) under the Multiannual Agreement with UC3M in the line of Excellence of University Professors (EPUC3M23), and in the context of the V PRICIT (Regional Programme of Research and Technological Innovation).
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RD 3 jul. 2024