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On marginal operators in boundary conformal field theory

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On marginal operators in boundary conformal field theory. / Herzog, Christopher P.; Shamir, Itamar.

In: Journal of High Energy Physics, Vol. 2019, No. 10, 88, 01.10.2019.

Research output: Contribution to journalArticle

Harvard

Herzog, CP & Shamir, I 2019, 'On marginal operators in boundary conformal field theory', Journal of High Energy Physics, vol. 2019, no. 10, 88. https://doi.org/10.1007/JHEP10(2019)088

APA

Herzog, C. P., & Shamir, I. (2019). On marginal operators in boundary conformal field theory. Journal of High Energy Physics, 2019(10), [88]. https://doi.org/10.1007/JHEP10(2019)088

Vancouver

Herzog CP, Shamir I. On marginal operators in boundary conformal field theory. Journal of High Energy Physics. 2019 Oct 1;2019(10). 88. https://doi.org/10.1007/JHEP10(2019)088

Author

Herzog, Christopher P. ; Shamir, Itamar. / On marginal operators in boundary conformal field theory. In: Journal of High Energy Physics. 2019 ; Vol. 2019, No. 10.

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@article{06f639859b56454ebca45359747efa88,
title = "On marginal operators in boundary conformal field theory",
abstract = "The presence of a boundary (or defect) in a conformal field theory allows one to generalize the notion of an exactly marginal deformation. Without a boundary, one must find an operator of protected scaling dimension ∆ equal to the space-time dimension d of the conformal field theory, while with a boundary, as long as the operator dimension is protected, one can make up for the difference d − ∆ by including a factor z∆−d in the deformation where z is the distance from the boundary. This coordinate dependence does not lead to a reduction in the underlying SO(d, 1) global conformal symmetry group of the boundary conformal field theory. We show that such terms can arise from boundary flows in interacting field theories. Ultimately, we would like to be able to characterize what types of boundary conformal field theories live on the orbits of such deformations. As a first step, we consider a free scalar with a conformally invariant mass term z−2φ2, and a fermion with a similar mass. We find a connection to double trace deformations in the AdS/CFT literature.",
keywords = "Boundary Quantum Field Theory, Conformal and W Symmetry, Conformal Field Theory",
author = "Herzog, {Christopher P.} and Itamar Shamir",
year = "2019",
month = oct,
day = "1",
doi = "10.1007/JHEP10(2019)088",
language = "English",
volume = "2019",
journal = "Journal of High Energy Physics",
issn = "1126-6708",
number = "10",

}

RIS (suitable for import to EndNote) Download

TY - JOUR

T1 - On marginal operators in boundary conformal field theory

AU - Herzog, Christopher P.

AU - Shamir, Itamar

PY - 2019/10/1

Y1 - 2019/10/1

N2 - The presence of a boundary (or defect) in a conformal field theory allows one to generalize the notion of an exactly marginal deformation. Without a boundary, one must find an operator of protected scaling dimension ∆ equal to the space-time dimension d of the conformal field theory, while with a boundary, as long as the operator dimension is protected, one can make up for the difference d − ∆ by including a factor z∆−d in the deformation where z is the distance from the boundary. This coordinate dependence does not lead to a reduction in the underlying SO(d, 1) global conformal symmetry group of the boundary conformal field theory. We show that such terms can arise from boundary flows in interacting field theories. Ultimately, we would like to be able to characterize what types of boundary conformal field theories live on the orbits of such deformations. As a first step, we consider a free scalar with a conformally invariant mass term z−2φ2, and a fermion with a similar mass. We find a connection to double trace deformations in the AdS/CFT literature.

AB - The presence of a boundary (or defect) in a conformal field theory allows one to generalize the notion of an exactly marginal deformation. Without a boundary, one must find an operator of protected scaling dimension ∆ equal to the space-time dimension d of the conformal field theory, while with a boundary, as long as the operator dimension is protected, one can make up for the difference d − ∆ by including a factor z∆−d in the deformation where z is the distance from the boundary. This coordinate dependence does not lead to a reduction in the underlying SO(d, 1) global conformal symmetry group of the boundary conformal field theory. We show that such terms can arise from boundary flows in interacting field theories. Ultimately, we would like to be able to characterize what types of boundary conformal field theories live on the orbits of such deformations. As a first step, we consider a free scalar with a conformally invariant mass term z−2φ2, and a fermion with a similar mass. We find a connection to double trace deformations in the AdS/CFT literature.

KW - Boundary Quantum Field Theory

KW - Conformal and W Symmetry

KW - Conformal Field Theory

UR - http://www.scopus.com/inward/record.url?scp=85073630757&partnerID=8YFLogxK

U2 - 10.1007/JHEP10(2019)088

DO - 10.1007/JHEP10(2019)088

M3 - Article

AN - SCOPUS:85073630757

VL - 2019

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 10

M1 - 88

ER -

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