4.4 Article

Boundary conformal field theory and a boundary central charge

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 10, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP10(2017)189

Keywords

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

Funding

  1. National Science Foundation [PHY-1620628]
  2. Direct For Mathematical & Physical Scien
  3. Division Of Physics [1620628] Funding Source: National Science Foundation

Ask authors/readers for more resources

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 two-point 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.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.4
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available