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arXiv · 2302.06990

The linear CS/WZW bulk/boundary system in AQFT

Marco Benini·Alastair Grant-Stuart·Alexander Schenkel
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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 $\partial M$ 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 $\partial B$ is weakly equivalent to a chiral free boson.

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Marco Benini, Alastair Grant-Stuart, Alexander Schenkel. 2023-02-14. The linear CS/WZW bulk/boundary system in AQFT. https://doi.org/10.1007/s00023-023-01346-6

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