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Dissertation/Thesis Abstract

Anomalies, Entanglement and Boundary Geometry in Conformal Field Theory
by Huang, Kuo-Wei, Ph.D., State University of New York at Stony Brook, 2018, 148; 10931391
Abstract (Summary)

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.

Indexing (document details)
Advisor: Herzog, Christopher
Commitee: Khuri, Marcus, Lee, Linwood, Zahed, Ismail
School: State University of New York at Stony Brook
Department: Physics
School Location: United States -- New York
Source: DAI-B 80/03(E), Dissertation Abstracts International
Subjects: Theoretical physics
Keywords: Anomaly, Boundary conformal field theory, Central charge, Entanglement, Graphene
Publication Number: 10931391
ISBN: 978-0-438-67966-5
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