Anomalies from correlation functions in defect conformal field theory

Christopher P. Herzog; Itamar Shamir

doi:10.1007/JHEP07(2021)091

Anomalies from correlation functions in defect conformal field theory

Christopher P. Herzog, Itamar Shamir^*

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

In previous work, we showed that an anomaly in the one point function of marginal operators is related by the Wess-Zumino condition to the Euler density anomaly on a two dimensional defect or boundary. Here we analyze in detail the two point functions of marginal operators with the stress tensor and with the displacement operator in three dimensions. We show how to get the boundary anomaly from these bulk two point functions and find perfect agreement with our anomaly effective action. For a higher dimensional conformal field theory with a four dimensional defect, we describe for the first time the anomaly effective action that relates the Euler density term to the one point function anomaly, generalizing our result for two dimensional defects.

Original language	English
Article number	91
Journal	Journal of High Energy Physics
Volume	2021
Issue number	7
Early online date	15 Jul 2021
DOIs	https://doi.org/10.1007/JHEP07(2021)091
Publication status	Published - Jul 2021

Keywords

Anomalies in Field and String Theories
Boundary Quantum Field Theory
Conformal Field Theory

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10.1007/JHEP07(2021)091

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KW - Anomalies in Field and String Theories

KW - Boundary Quantum Field Theory

KW - Conformal Field Theory

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VL - 2021

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

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Anomalies from correlation functions in defect conformal field theory

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Keywords

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