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Related papers: Boundary flows in minimal models

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The behaviour of boundary conditions under relevant bulk perturbations is studied for the Virasoro minimal models. In particular, we consider the bulk deformation by the least relevant bulk field which interpolates between the mth and…

High Energy Physics - Theory · Physics 2014-11-20 Stefan Fredenhagen , Matthias R. Gaberdiel , Cornelius Schmidt-Colinet

In this note we consider boundary perturbations in the A-Series unitary minimal models by phi_{r,r+2} fields on superpositions of boundaries. In particular, we consider perturbations by boundary condition changing operators. Within…

High Energy Physics - Theory · Physics 2009-11-07 K. Graham

The sinh-Gordon model with integrable boundary conditions is considered in low order perturbation theory. It is pointed out that results obtained by Ghoshal for the sine-Gordon breather reflection factors suggest an interesting dual…

High Energy Physics - Theory · Physics 2009-10-30 E Corrigan

We study the massless flows described by the staircase model introduced by Al.B. Zamolodchikov through the analytic continuation of the sinh-Gordon S-matrix, focusing on the renormalisation group flow from the tricritical to the critical…

High Energy Physics - Theory · Physics 2016-07-12 D. X. Horvath , P. E. Dorey , G. Takacs

We show how a large class of boundary RG flows in two-dimensional conformal field theories can be summarized in a single rule. This rule is a generalization of the 'absorption of the boundary spin'-principle of Affleck and Ludwig and…

High Energy Physics - Theory · Physics 2015-06-26 Stefan Fredenhagen

The Virasoro minimal models with boundary are described in the Landau-Ginzburg theory by introducing a boundary potential, function of the boundary field value. The ground state field configurations become non-trivial and are found to obey…

High Energy Physics - Theory · Physics 2009-11-10 A. Cappelli , G. D'Appollonio , M. Zabzine

We consider perturbations of unitary minimal models by boundary fields. Initially we consider the models in the limit as c -> 1 and find that the relevant boundary fields all have simple interpretations in this limit. This interpretation…

High Energy Physics - Theory · Physics 2009-11-07 K. Graham , I. Runkel , G. M. T Watts

For QFTs in AdS the boundary correlation functions remain conformal even if the bulk theory has a scale. This allows one to constrain RG flows with numerical conformal bootstrap methods. We apply this idea to flows between two-dimensional…

High Energy Physics - Theory · Physics 2024-04-15 António Antunes , Edoardo Lauria , Balt C. van Rees

The aim of this paper is to discuss the appropriate modelling of in- and outflow boundary conditions for nonlinear drift-diffusion models for the transport of particles including size exclusion and their effect on the behaviour of…

Analysis of PDEs · Mathematics 2016-11-03 Martin Burger , Jan-Frederik Pietschmann

We describe an integrable system consisting of the sine-Gordon field, restricted to the half line, and coupled to a non-linear oscillator at the boundary. By extension of the coupling constant to imaginary values we also outline the…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 P. Baseilhac , G. W. Delius , A. George

In this manuscript we present a detailed investigation of the form factors of boundary fields of the sinh-Gordon model with a particular type of Dirichlet boundary condition, corresponding to zero value of the sinh-Gordon field at the…

High Energy Physics - Theory · Physics 2009-11-11 Olalla A. Castro-Alvaredo

In the context of two-dimensional rational conformal field theories we consider topological junctions of topological defect lines with boundary conditions. We refer to such junctions as open topological defects. For a relevant boundary…

High Energy Physics - Theory · Physics 2020-05-20 Anatoly Konechny

Correlation functions and form factors in vertex models or spin chains are known to satisfy certain difference equations called the quantum Knizhnik-Zamolodchikov equations. We find similar difference equations for the case of semi-infinite…

High Energy Physics - Theory · Physics 2016-09-06 Michio Jimbo , Rinat Kedem , Hitoshi Konno , Tetsuji Miwa , Robert Weston

We describe a general way of constructing integrable defect theories as perturbations of conformal field theory by local defect operators. The method relies on folding the system onto a boundary field theory of twice the central charge. The…

High Energy Physics - Theory · Physics 2014-11-18 A. LeClair , A. W. W. Ludwig

The $S$-matrix of the Ising Model can be obtained as particular limit of the roaming trajectories associated to of the $S$-matrix of the Sinh-Gordon model. Using the form factors of the Sinh-Gordon, we analyse the correspondence between the…

High Energy Physics - Theory · Physics 2009-10-22 C. Ahn , G. Delfino , G. Mussardo

We study a new variant of mathematical prediction-correction model for crowd motion. The prediction phase is handled by a transport equation where the vector field is computed via an eikonal equation $\Vert \nabla\varphi\Vert=f$, with a…

Analysis of PDEs · Mathematics 2023-02-23 Hamza Ennaji , Noureddine Igbida , Ghadir Jradi

We present an investigation of the boundary breather states of the sinh-Gordon model restricted to a half-line. The classical boundary breathers are presented for a two parameter family of integrable boundary conditions. Restricting to the…

High Energy Physics - Theory · Physics 2008-11-26 E. Corrigan , G. W. Delius

We review our recent results on the on-shell description of sine-Gordon model with integrable boundary conditions. We determined the spectrum of boundary states together with their reflection factors by closing the boundary bootstrap and…

High Energy Physics - Theory · Physics 2007-05-23 Z. Bajnok , L. Palla , G. Takacs

We propose a new rule for boundary renormalization group flows in fixed-point free coset models. Our proposal generalizes the 'absorption of boundary spin'-principle formulated by Affleck and Ludwig to a large class of perturbations in…

High Energy Physics - Theory · Physics 2009-11-07 S. Fredenhagen , V. Schomerus

We analyze a perturbation of the boundary Sine-Gordon model where two boundary terms of different periodicities and scaling dimensions are coupled to a Kondo-like spin degree of freedom. We show that, by pertinently engineering the coupling…

Superconductivity · Physics 2015-05-18 Domenico Giuliano , Pasquale Sodano
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