Line and surface defects for the free scalar field

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

doi:10.1007/JHEP01(2021)060

Line and surface defects for the free scalar field

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

Institut Polytechnique de Paris
c/o DESY

Research output: Contribution to journal › Article › peer-review

Abstract

For a single free scalar field in d ≥ 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 ≥ 4 and co-dimension three defects in d ≥ 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.

Original language	English
Article number	60
Journal	Journal of High Energy Physics
Volume	2021
Issue number	1
DOIs	https://doi.org/10.1007/JHEP01(2021)060
Publication status	Published - 1 Jan 2021

Keywords

Boundary Quantum Field Theory
Conformal Field Theory
Space-Time Symmetries
Wilson, ’t Hooft and Polyakov loops

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10.1007/JHEP01(2021)060

Cite this

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abstract = "For a single free scalar field in d ≥ 2 dimensions, almost all the unitary conformal defects must be {\textquoteleft}trivial{\textquoteright} in the sense that they cannot hold interesting dynamics. The only possible exceptions are monodromy defects in d ≥ 4 and co-dimension three defects in d ≥ 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.",

keywords = "Boundary Quantum Field Theory, Conformal Field Theory, Space-Time Symmetries, Wilson, {\textquoteright}t Hooft and Polyakov loops",

author = "Edoardo Lauria and Pedro Liendo and \{van Rees\}, \{Balt C.\} and Xiang Zhao",

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N2 - For a single free scalar field in d ≥ 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 ≥ 4 and co-dimension three defects in d ≥ 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.

AB - For a single free scalar field in d ≥ 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 ≥ 4 and co-dimension three defects in d ≥ 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.

KW - Boundary Quantum Field Theory

KW - Conformal Field Theory

KW - Space-Time Symmetries

KW - Wilson, ’t Hooft and Polyakov loops

UR - https://www.scopus.com/pages/publications/85104448485

U2 - 10.1007/JHEP01(2021)060

DO - 10.1007/JHEP01(2021)060

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JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 1

M1 - 60

ER -

Line and surface defects for the free scalar field

Abstract

Keywords

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