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Related papers: On relevant boundary perturbations of unitary mini…

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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 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

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

We use renormalization group methods to study composite operators existing at a boundary of an interacting conformal field theory. In particular we relate the data on boundary operators to short-distance (near-boundary) divergences of bulk…

High Energy Physics - Theory · Physics 2020-04-22 Vladimír Procházka , Alexander Söderberg

We provide evidence for the existence of non-trivial unitary conformal boundary conditions for a three-dimensional free scalar field, which can be obtained via a coupling to the m'th unitary diagonal minimal model. For large m we can…

High Energy Physics - Theory · Physics 2022-03-24 Connor Behan , Lorenzo Di Pietro , Edoardo Lauria , Balt C. van Rees

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 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

Critical systems are described by conformal field theories, whose dynamics can be exactly solved in two dimensions. In the presence of a boundary, with the so-called method of images it is possible to study the surface critical behaviour of…

High Energy Physics - Theory · Physics 2007-05-23 Valentina Riva

In this paper we study a simple example of a two-parameter space of renormalisation group flows of defects in Virasoro minimal models. We use a combination of exact results, perturbation theory and the truncated conformal space approach to…

High Energy Physics - Theory · Physics 2010-10-21 Márton Kormos , Ingo Runkel , Gérard M. T. Watts

Boundary conformal field theory is the suitable framework for a microscopic treatment of D-branes in arbitrary CFT backgrounds. In this work, we develop boundary deformation theory in order to study the changes of boundary conditions…

High Energy Physics - Theory · Physics 2009-10-31 A. Recknagel , V. Schomerus

D-branes in curved backgrounds can be treated with techniques of boundary conformal field theory. We discuss the influence of scalar condensates on such branes, i.e. perturbations of boundary conditions by marginal boundary operators. A…

High Energy Physics - Theory · Physics 2015-06-26 Andreas Recknagel , Volker Schomerus

In this paper, we will make an attempt to clarify the relation between three-dimensional euclidean loop quantum gravity with vanishing cosmological constant and quantum field theory in the continuum. We will argue, in particular, that in…

General Relativity and Quantum Cosmology · Physics 2018-10-22 Wolfgang Wieland

The influence of closed string moduli on the D-brane moduli space is studied from a worldsheet point of view. Whenever a D-brane cannot be adjusted to an infinitesimal change of the closed string background, the corresponding exactly…

High Energy Physics - Theory · Physics 2008-11-26 Stefan Fredenhagen , Matthias R. Gaberdiel , Christoph A. Keller

We consider a class of conformal defects in Virasoro minimal models that have been defined as fixed points of the renormalisation group and calculate the leading contribution to the reflection coefficient for these defects. This requires…

High Energy Physics - Theory · Physics 2018-08-01 Isao Makabe , Gerard M T Watts

Conformal boundary conditions in two-dimensional conformal field theories are still mostly an uncharted territory. Even less is known about the relevant boundary deformations that connect them. A natural approach to the problem is via…

High Energy Physics - Theory · Physics 2025-01-20 Jaroslav Scheinpflug , Martin Schnabl

We revisit the line of non-unitary theories that interpolate between the Virasoro minimal models. Numerical bootstrap applications have brought about interest in the four-point function involving the scalar primary of lowest dimension.…

High Energy Physics - Theory · Physics 2021-07-08 Connor Behan

We study the conformal boundary conditions of the dilute O(n) model in two dimensions. A pair of mutually dual solutions to the boundary Yang-Baxter equations are found. They describe anisotropic special transitions, and can be interpreted…

Mathematical Physics · Physics 2009-12-15 Jerome Dubail , Jesper Lykke Jacobsen , Hubert Saleur

We discuss in this paper the behaviour of minimal models of conformal theory perturbed by the operator $\Phi_{13}$ at the boundary. Using the RSOS restriction of the sine-Gordon model, adapted to the boundary problem, a series of boundary…

High Energy Physics - Theory · Physics 2009-10-31 F. Lesage , H. Saleur , P. Simonetti

We consider simple CFT models which contain massless bosons, or massless fermions or a supersymmetric combination of the two, on the strip. We study the deformations of these models by relevant boundary operators. In particular, we work out…

High Energy Physics - Theory · Physics 2009-10-31 Tasneem Zehra Husain , Maxim Zabzine

In this paper expressions are given for the bulk and boundary structure constants of D-series Virasoro minimal models on the upper half plane. It is the continuation of an earlier work on the A-series. The solution for the boundary theory…

High Energy Physics - Theory · Physics 2009-10-31 Ingo Runkel
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