论文标题

自由标量场的线和表面缺陷

Line and surface defects for the free scalar field

论文作者

Lauria, Edoardo, Liendo, Pedro, van Rees, Balt C., Zhao, Xiang

论文摘要

对于$ d \ geq 2 $尺寸中的单个自由标量字段,几乎所有统一的保形缺陷都必须是“琐碎的”,因为它们无法持有有趣的动态。唯一可能的例外是$ d \ geq 4 $中的单片缺陷和$ d \ geq 5 $的三个缺陷。作为中间结果,我们表明,$ n $点的相关函数与广义自由谱必须是广义自由理论的相关频谱。

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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