Boundary conformal field theory and a boundary central charge

Research output: Contribution to journalArticlepeer-review

96 Citations (Scopus)
234 Downloads (Pure)

Abstract

We consider the structure of current and stress tensor two-point functions in conformal field theory with a boundary. The main result of this paper is a relation between a boundary central charge and the coefficient of a displacement operator correlation function in the boundary limit. The boundary central charge under consideration is the coefficient of the product of the extrinsic curvature and the Weyl curvature in the conformal anomaly. Along the way, we describe several auxiliary results. Three of the more notable are as follows: (1) we give the bulk and boundary conformal blocks for the current twopoint function; (2) we show that the structure of these current and stress tensor two-point functions is essentially universal for all free theories; (3) we introduce a class of interacting conformal field theories with boundary degrees of freedom, where the interactions are confined to the boundary. The most interesting example we consider can be thought of as the infrared fixed point of graphene. This particular interacting conformal model in four dimensions provides a counterexample of a previously conjectured relation between a boundary central charge and a bulk central charge. The model also demonstrates that the boundary central charge can change in response to marginal deformations.
Original languageEnglish
Article number189
Number of pages62
JournalJournal of High Energy Physics
Volume189
Issue number189
Early online date26 Oct 2017
DOIs
Publication statusPublished - Oct 2017

Fingerprint

Dive into the research topics of 'Boundary conformal field theory and a boundary central charge'. Together they form a unique fingerprint.

Cite this