A conformal field theory embedded in a curved spacetime background can be characterized by the trace anomaly coefficients of the stress tensor. We first derive general vacuum stress tensors of even-dimensional conformal field theories using Weyl anomalies. We then consider some aspects of conformal field theory in space-time dimensions higher than two with a codimension-one boundary. We discuss how boundary effect plays an important role in the study of quantum entanglement. We also obtain universal relationships between boundary trace anomalies and stress-tensor correlation functions near the boundary. A non-supersymmetric graphene-like conformal field theory with a four-dimensional bulk photon and a three-dimensional boundary electron is found to have two boundary central charges that depend on an exactly marginal direction, namely the gauge coupling.
|Commitee:||Khuri, Marcus, Lee, Linwood, Zahed, Ismail|
|School:||State University of New York at Stony Brook|
|School Location:||United States -- New York|
|Source:||DAI-B 80/03(E), Dissertation Abstracts International|
|Keywords:||Anomaly, Boundary conformal field theory, Central charge, Entanglement, Graphene|
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