Bulk and boundary operators in conformal field theory

Cardy, John; Lewellen, D. C.

doi:10.1016/0370-2693(91)90828-e

Cited by 330 publications

(557 citation statements)

References 8 publications

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“…Cardy and Lewellen extended these results to Riemann surfaces with boundaries [75,76]. They proved that all the amplitudes are unambiguously defined provided that the structure constants satisfy four additional constraints.…”

Section: Structure Constantsmentioning

confidence: 87%

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D-branes and BCFT in Hpp-wave backgrounds

D’Appollonio

Kiritsis

2005

Nuclear Physics B

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In this paper we study two classes of symmetric D-branes in the Nappi-Witten gravitational wave, namely D2 and S1 branes. We solve the sewing constraints and determine the bulk-boundary couplings and the boundary three-point couplings. For the D2 brane our solution gives the first explicit results for the structure constants of the twisted symmetric branes in a WZW model. We also compute the boundary four-point functions, providing examples of open string four-point amplitudes in a curved background. We finally discuss the annulus amplitudes, the relation with branes in AdS 3 and in S 3 and the analogy between the open string couplings in the H 4 model and the couplings for magnetized and intersecting branes.

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Section: Structure Constantsmentioning

confidence: 87%

“…These structure constants satisfy a set of factorization constraints first derived by Cardy and Lewellen [75,76] (see also [77,78,79]). For the sake of clarity, we will briefly review the sewing constraints for a generic CFT and in the next section we will write them explicitly for the Nappi-Witten model.…”

Section: Structure Constantsmentioning

confidence: 99%

D-branes and BCFT in Hpp-wave backgrounds

D’Appollonio

Kiritsis

2005

Nuclear Physics B

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“…For two nonchiral wires, one can reach the same conclusion through an almost identical argument. In this work, however, we obtain this result within the framework of boundary conformal field theory (BCFT), using the delayed evaluation of boundary conditions (DEBC) method, [61][62][63][64] which, as we will see, has the advantage that it can be readily generalized to junctions of more quantum wires.…”

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confidence: 99%

Junctions of multiple quantum wires with different Luttinger parameters

et al. 2012

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Within the framework of boundary conformal field theory, we evaluate the conductance of stable fixed points of junctions of two and three quantum wires with different Luttinger parameters. For two wires, the physical properties are governed by a single effective Luttinger parameters for each of the charge and spin sectors. We present numerical density-matrix-renormalization-group calculations of the conductance of a junction of two chains of interacting spinless fermions with different interaction strengths, obtained using a recently developed method [Phys. Rev. Lett. 105, 226803 (2010)]. The numerical results show very good agreement with the analytical predictions. For three spinless wires, i.e., a Y junction, we analytically determine the full phase diagram, and compute all fixed-point conductances as a function of the three Luttinger parameters.

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“…The Cardy condition [2] is essentially the expression of modular invariance for the annulus, and is only satisfied by certain linear combinations of states satisfying (1.1). Further constraints can also be formulated [3,4], but they are often more difficult to use directly. The combined bulk and boundary system is called a boundary CFT, and includes new local operators which are restricted to the boundary.…”

Section: Jhep09(2017)148mentioning

confidence: 99%

Conformal interfaces between free boson orbifold theories

Becker

Cabrera

Robbins

2017

J. High Energ. Phys.

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We construct a large class of conformal interfaces between two-dimensional c = 1 conformal field theories describing compact free bosons and their Z 2 orbifolds. The interfaces are obtained by constructing boundary states in the corresponding c = 2 product theories and applying the unfolding procedure. We compute the fusion products for all of these defects, and identify the invertible topological interfaces associated to global symmetries, the interfaces corresponding to marginal deformations, and the interfaces which map the untwisted sector of an orbifold to the invariant states of the parent theory.

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Bulk and boundary operators in conformal field theory

Cited by 330 publications

References 8 publications

D-branes and BCFT in Hpp-wave backgrounds

D-branes and BCFT in Hpp-wave backgrounds

Junctions of multiple quantum wires with different Luttinger parameters

Conformal interfaces between free boson orbifold theories

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