Abstract
AbstractThis paper constructs in the framework of algebraic quantum field theory (AQFT) the linear Chern–Simons/Wess–Zumino–Witten system on a class of 3-manifolds M whose boundary $$\partial M$$
∂
M
is endowed with a Lorentzian metric. It is proven that this AQFT is equivalent to a dimensionally reduced AQFT on a 2-dimensional manifold B, whose restriction to the 1-dimensional boundary $$\partial B$$
∂
B
is weakly equivalent to a chiral free boson.
Funder
Royal Society
Gruppo Nazionale per la Fisica Matematica
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Nuclear and High Energy Physics,Statistical and Nonlinear Physics
Cited by
1 articles.
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1. Green Hyperbolic Complexes on Lorentzian Manifolds;Communications in Mathematical Physics;2023-08-02