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We propose a general formalism to compute exact correlation functions for Cardy's boundary states. Using the free-field construction of boundary states and applying the Coulomb-gas technique, it is shown that charge-neutrality conditions…

High Energy Physics - Theory · Physics 2010-12-01 Shinsuke Kawai

We develop a Coulomb gas formalism for boundary conformal field theory having a $W$ symmetry and illustrate its operation using the three state Potts model. We find that there are free-field representations for six $W$ conserving boundary…

High Energy Physics - Theory · Physics 2009-11-10 Alexandre F. Caldeira , Shinsuke Kawai , John F. Wheater

We consider the minimal conformal model describing the tricritical Ising model on the disk and on the upper half plane. Using the coulomb-gas formalism we determine its consistents boundary states as well as its 1-point and 2-point…

High Energy Physics - Theory · Physics 2009-01-27 S. Balaska , T. Sahabi

We present a method for classifying conformal field theories based on Coulomb gases (bosonic free-field construction). Given a particular geometric configuration of the screening charges, we give necessary conditions for the existence of…

High Energy Physics - Theory · Physics 2009-11-07 Vladimir S. Dotsenko , Jesper Lykke Jacobsen , Marco Picco

We construct boundary states in $SU(2)_k$ WZNW models using the bosonized Wakimoto free-field representation and study their properties. We introduce a Fock space representation of Ishibashi states which are coherent states of bosons with…

High Energy Physics - Theory · Physics 2009-11-10 Samuli Hemming , Shinsuke Kawai , Esko Keski-Vakkuri

We discuss conformal field theories (CFTs) in rectangular geometries, and develop a formalism that involves a conformal boundary state for the 1+1d open system. We focus on the case of homogeneous boundary conditions (no insertion of a…

Mathematical Physics · Physics 2012-05-17 Roberto Bondesan , Jerome Dubail , Jesper Lykke Jacobsen , Hubert Saleur

Starting from first principles, a constructive method is presented to obtain boundary states in conformal field theory. It is demonstrated that this method is well suited to compute the boundary states of logarithmic conformal field…

High Energy Physics - Theory · Physics 2010-04-05 Andreas Bredthauer , Michael Flohr

The holomorphic Coulomb gas formalism is a set of rules for computing minimal model observables using free field techniques. We attempt to derive and clarify these rules using standard techniques of QFT. We begin with a careful examination…

High Energy Physics - Theory · Physics 2021-11-10 Daniel Kapec , Raghu Mahajan

The Coulomb-gas description of minimal models is considered on the half plane. Screening prescriptions are developed by the perturbative expansion of the Liouville theory with imaginary coupling and with Neumann boundary condition on the…

High Energy Physics - Theory · Physics 2009-10-30 Jürgen Schulze

We apply the background charged bosonic free-field approach to the rational principal quantum Drinfeld-Sokolov (QDS) $\mathcal{W} \big[ \widehat{g} \big](p,p')$ minimal models with boundaries, where $g$ is a finite bosonic simple Lie…

High Energy Physics - Theory · Physics 2026-05-15 Xun Liu

We propose using smeared boundary states $e^{-\tau H}|\cal B\rangle$ as variational approximations to the ground state of a conformal field theory deformed by relevant bulk operators. This is motivated by recent studies of quantum quenches…

High Energy Physics - Theory · Physics 2017-08-15 John Cardy

We study entanglement entropy of boundary states in a free bosonic conformal field theory. A boundary state can be thought of as composed of a particular combination of left and right-moving modes of the two-dimensional conformal field…

High Energy Physics - Theory · Physics 2015-06-22 Leopoldo A. Pando Zayas , Norma Quiroz

Our main aim in this thesis is to address the results and prospects of boundary logarithmic conformal field theories: theories with boundaries that contain the above Jordan cell structure. We have investigated c_{p,q} boundary theory in…

High Energy Physics - Theory · Physics 2008-11-26 Yukitaka Ishimoto

A field theoretic representation of the classical partition function is derived for a system composed of a mixture of anisotropic and isotropic mobile charges that interact {\sl via} long range Coulomb and short range nematic interactions.…

Soft Condensed Matter · Physics 2021-01-29 Rudolf Podgornik

The question of boundary conditions in conformal field theories is discussed, in the light of recent progress. Two kinds of boundary conditions are examined, along open boundaries of the system, or along closed curves or ``seams''. Solving…

High Energy Physics - Theory · Physics 2017-08-23 V. B. Petkova , J. -B. Zuber

We have studied in a previous work the quantization of a mixed bulk-boundary system describing the coupled dynamics between a bulk quantum field confined to a spacetime with finite space slice and with timelike boundary, and a boundary…

High Energy Physics - Theory · Physics 2021-03-12 Benito A. Juárez-Aubry , Ricardo Weder

We study the $c=-2$ model of logarithmic conformal field theory in the presence of a boundary using symplectic fermions. We find boundary states with consistent modular properties. A peculiar feature of this model is that the vacuum…

High Energy Physics - Theory · Physics 2009-11-07 Shinsuke Kawai , John F. Wheater

The classification of rational conformal field theories is reconsidered from the standpoint of boundary conditions. Solving Cardy's equation expressing the consistency condition on a cylinder is equivalent to finding integer valued…

High Energy Physics - Theory · Physics 2009-10-31 R. Behrend , P. Pearce , V. Petkova , J. -B. Zuber

The conformal field theory on a Z_N-surface is studied by mapping it on the branched sphere. Using a coulomb gas formalism we construct the minimal models of the theory.

High Energy Physics - Theory · Physics 2014-11-18 Samwel Apikyan , Costas Efthimiou

We investigate the set of boundary states in the symplectic fermion description of the logarithmic conformal field theory with central charge c=-2. We show that the thus constructed states correspond exactly to those derived under the…

High Energy Physics - Theory · Physics 2010-04-05 Andreas Bredthauer
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