Boundary Conformal Field Theory

By J. Cardy. 2004

261 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/304f743f739a452f950efb99d8b176a86e7efc5a

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Citations in the corpus

Time dependence of correlation functions following a quantum quench. (2006, background): “|) because then the 1 + 1-dimensional problem is described asymptotically by a boundary conformal field theory (BCFT)[7, 8].”
Entanglement entropy from a holographic viewpoint (2012, background): “This setup is special in that it has been well-studied (see [142] and references therein) and that the BCFT has an interesting quantity called the boundary entropy (or g-function) [143].”
Entanglement entropy and conformal field theory (2009, background): “ from them, the intrinsically global nature of the block entanglement makes it more sensible to the boundary conditions. This is not a negative feature and can be eﬀectively described by boundary CFT [37, 38]. Let us start by considering a 1D system is a semi-inﬁnite line, say [0,∞), and the subsyst”
Entanglement and correlation functions following a local quench: a conformal field theory approach (2007, methodology): “pondingly the entanglement can be extensively larger. We will only consider gapless models that are described asymptotically by a boundary CFT, since in this case we can use powerful analytic results [14, 15]. Entanglementandcorrelation functionsfollowing alocalquench: aCFTapproach 3 The paper is or”
SLE for theoretical physicists (2005, background): “For a longer introduction to BCFT see [34] and, for a complete account of CFT, [35].”
Aspects of AdS/BCFT (2011, background): “The reason that this setup is special is that it has been well studied in the subject of two dimensional CFT [22].”
Central charges for BCFTs and holography (2012, methodology): “When we put a d − 1 dimensional boundary to a d dimensional CFT such that the presence of the boundary breaks SO(2, d) into SO(2, d − 1), this is called a boundary conformal field theory (BCFT) [17].”
Information Transfer with a Gravitating Bath (2020, background): “We call such a system doubly-holographic because these three descriptions are related to each other by applying the standard AdS/CFT holography twice [27,34,35]: (I) a d-dimensional CFT on a flat background with a (d − 1)-dimensional boundary (i.e. a BCFTd [48,49]), a description also emphasized in ”
Dirichlet Branes and Mirror Symmetry (2009, background): “54) is reminiscent of the relation between the “Cardy states” and the “Ishibashi states” in boundary conformal field theory [86, 87].”
Boundary conformal field theory and a boundary central charge (2017, background): “Interested readers may refer to [42] for relevant discussion of d = 2 bCFTs and their applications.”