This 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 ∂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 ∂B is weakly equivalent to a chiral free boson.
The Linear CS/WZW Bulk/Boundary System in AQFT / Benini, Marco; Grant-Stuart, Alastair; Schenkel, Alexander. - In: ANNALES HENRI POINCARE'. - ISSN 1424-0637. - 25:4(2023), pp. 2251-2294. [10.1007/s00023-023-01346-6]
The Linear CS/WZW Bulk/Boundary System in AQFT
Schenkel, Alexander
2023-01-01
Abstract
This 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 ∂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 ∂B is weakly equivalent to a chiral free boson.File in questo prodotto:
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