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Title: Displacement Operators and Constraints on Boundary Central Charges

Abstract

Boundary conformal field theories have several additional terms in the trace anomaly of the stress tensor associated purely with the boundary. We constrain the corresponding boundary central charges in three- and four-dimensional conformal field theories in terms of two- and three-point correlation functions of the displacement operator. We provide a general derivation by comparing the trace anomaly with scale dependent contact terms in the correlation functions. Moreover, we conjecture a relation between the α-type boundary charge in three dimensions and the stress tensor two-point function near the boundary. We check our results for several free theories.

Authors:
; ;
Publication Date:
Research Org.:
San Francisco State Univ., San Francisco, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1416067
Alternate Identifier(s):
OSTI ID: 1501845
Grant/Contract Number:  
SC0013682
Resource Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Name: Physical Review Letters Journal Volume: 120 Journal Issue: 2; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Herzog, Christopher, Huang, Kuo-Wei, and Jensen, Kristan. Displacement Operators and Constraints on Boundary Central Charges. United States: N. p., 2018. Web. doi:10.1103/PhysRevLett.120.021601.
Herzog, Christopher, Huang, Kuo-Wei, & Jensen, Kristan. Displacement Operators and Constraints on Boundary Central Charges. United States. doi:10.1103/PhysRevLett.120.021601.
Herzog, Christopher, Huang, Kuo-Wei, and Jensen, Kristan. Mon . "Displacement Operators and Constraints on Boundary Central Charges". United States. doi:10.1103/PhysRevLett.120.021601.
@article{osti_1416067,
title = {Displacement Operators and Constraints on Boundary Central Charges},
author = {Herzog, Christopher and Huang, Kuo-Wei and Jensen, Kristan},
abstractNote = {Boundary conformal field theories have several additional terms in the trace anomaly of the stress tensor associated purely with the boundary. We constrain the corresponding boundary central charges in three- and four-dimensional conformal field theories in terms of two- and three-point correlation functions of the displacement operator. We provide a general derivation by comparing the trace anomaly with scale dependent contact terms in the correlation functions. Moreover, we conjecture a relation between the α-type boundary charge in three dimensions and the stress tensor two-point function near the boundary. We check our results for several free theories.},
doi = {10.1103/PhysRevLett.120.021601},
journal = {Physical Review Letters},
number = 2,
volume = 120,
place = {United States},
year = {2018},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevLett.120.021601

Citation Metrics:
Cited by: 7 works
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