Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 7, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP07(2021)091
Keywords
Anomalies in Field and String Theories; Boundary Quantum Field Theory; Conformal Field Theory
Categories
Funding
- Wolfson Fellowship from the Royal Society
- U.K. Science & Technology Facilities Council [ST/P000258/1]
- MIUR-SIR [RBSI1471GJ]
- INFN Iniziativa Specifica STFI
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This study delves into the two point functions of marginal operators with the stress tensor and displacement operator in three dimensions, revealing the boundary anomaly and confirming agreement with the anomaly effective action. It also presents the anomaly effective action linking the Euler density term to the one point function anomaly for a higher dimensional conformal field theory with a four dimensional defect, extending previous results for two dimensional defects.
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.
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