English

Boundary Conformal Field Theory

High Energy Physics - Theory 2008-02-20 v2

Abstract

Boundary conformal field theory (BCFT) is simply the study of conformal field theory (CFT) in domains with a boundary. It gains its significance because, in some ways, it is mathematically simpler: the algebraic and geometric structures of CFT appear in a more straightforward manner; and because it has important applications: in string theory in the physics of open strings and D-branes, and in condensed matter physics in boundary critical behavior and quantum impurity models. In this article, however, I describe the basic ideas from the point of view of quantum field theory, without regard to particular applications nor to any deeper mathematical formulations.

Keywords

Cite

@article{arxiv.hep-th/0411189,
  title  = {Boundary Conformal Field Theory},
  author = {John Cardy},
  journal= {arXiv preprint arXiv:hep-th/0411189},
  year   = {2008}
}

Comments

17 pages, 2 figures; v.2: corrected ghastly mistake in Eq. (41), and a missing author reference

R2 v1 2026-07-22T15:27:09.337Z