1999/03/09 by Jouko Mickelsson
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Fermion #Hamiltonian (control theory) #Mathematical physics #Mathematics #Physics #Quantization (signal processing) #Quantum Chromodynamics and Particle Interactions #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum mechanics #hep-th
paper · pdf · doi:10.1016/s0370-2693(99)00505-5
published as Phys.Lett. B456 (1999) 124-128 · 8 pages AmsTex, no figures
arxiv created 1999/03/09 · openalex publication_date 1999/06/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The current algebra generated by fermions coupled to external gauge potentials and metrics on a manifold with boundary is discussed. It is shown that the previous methods, based on index theory arguments and used in the case without boundaries, carry over to the present problem. The resulting current algebra is the same as obtained from a quantization of bosonic Chern-Simons theories on space-times with nonempty boundaries. This means that also in the fermionic setting the construction is 'holographic', the Schwinger terms reside on the boundary.