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arXiv · 2005.02413

Line and surface defects for the free scalar field

Edoardo Lauria·Pedro Liendo·Balt C. van Rees·Xiang Zhao
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Abstract

For a single free scalar field in $d \geq 2$ dimensions, almost all the unitary conformal defects must be `trivial' in the sense that they cannot hold interesting dynamics. The only possible exceptions are monodromy defects in $d \geq 4$ and co-dimension three defects in $d \geq 5$. As an intermediate result we show that the $n$-point correlation functions of a conformal theory with a generalized free spectrum must be those of the generalized free theory.

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Edoardo Lauria, Pedro Liendo, Balt C. van Rees, Xiang Zhao. 2020-05-05. Line and surface defects for the free scalar field. https://doi.org/10.1007/jhep01(2021)060

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