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Related papers: Bulk flows in Virasoro minimal models with boundar…

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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

We consider A-series modular invariant Virasoro minimal models on the upper half plane. From Lewellen's sewing constraints a necessary form of the bulk and boundary structure constants is derived. Necessary means that any solution can be…

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

We discuss possible choices for boundary conditions in the AdS/CFT correspondence, and calculate the renormalisation group flow induced by a double-trace perturbation. In running from the UV to the IR there is a unit shift in the central…

High Energy Physics - Theory · Physics 2016-09-06 David Nolland

In this paper, we present a micropolar continuum model based on the theory of magnetohydrodynamics. In particular, the effect of micromagnetorotation (MMR) is taken into account in the derivation of an initial-boundary value problem (i-bvp)…

Fluid Dynamics · Physics 2023-08-17 Muhammad Sabeel Khan , Isma Hameed

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

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

We study the boundary theory of the $\mathbb{Z}_N$ X-cube model using a continuum perspective, from which the exchange statistics of a subset of bulk excitations can be recovered. We discuss various gapped boundary conditions that either…

Strongly Correlated Electrons · Physics 2022-11-23 Zhu-Xi Luo , Ryan C. Spieler , Hao-Yu Sun , Andreas Karch

Recently Gaiotto [1] considered conformal defects which produce an expansion of infrared local fields in terms of the ultraviolet ones for a given renormalization group flow. In this paper we propose that for a boundary RG flow in two…

High Energy Physics - Theory · Physics 2015-06-12 Anatoly Konechny

We discuss general properties of perturbative RG flows in AdS with a focus on the treatment of boundary conditions and infrared divergences. In contrast with flat-space boundary QFT, general covariance in AdS implies the absence of…

High Energy Physics - Theory · Physics 2024-03-05 Edoardo Lauria , Michael N. Milam , Balt C. van Rees

The N=1 superconformal circle theory consisting of a free boson and a free fermion is considered. At any radius the theory has standard Dirichlet and Neumann branes, but for rational radii there are additional superconformal boundary…

High Energy Physics - Theory · Physics 2009-03-12 Matthias R Gaberdiel , Oliver Schlotterer

We discuss the change of the boundary entropy under an ambient renormalization group flow. We use conformal perturbation theory to calculate the change of the boundary entropy for $d$-dimensional BCFTs between two nearby fixed points. We…

High Energy Physics - Theory · Physics 2020-07-01 Yoshiki Sato

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

We show that topological defects in the language of Landau-Ginzburg models carry information about the RG flow between the non-compact orbifolds $\mathbb{C}/\mathbb{Z}_d$. We show that such defects correctly implement the bulk-induced RG…

High Energy Physics - Theory · Physics 2017-03-08 Melanie Becker , Yaniel Cabrera , Daniel Robbins

In this paper we investigate renormalisation group flows of supersymmetric minimal models generated by the boundary perturbing field (\hat G_{-1/2}\phi_{1,3}). Performing the Truncated Conformal Space Approach analysis the emerging pattern…

High Energy Physics - Theory · Physics 2008-11-26 M. Kormos

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

We investigate perturbatively tractable deformations of topological defects in two-dimensional conformal field theories. We perturbatively compute the change in the $g$-factor, the reflectivity, and the entanglement entropy of the conformal…

High Energy Physics - Theory · Physics 2021-05-19 Enrico M. Brehm

We study boundary renormalization group flows of N=2 minimal models using Landau-Ginzburg description of B-type. A simple algebraic relation of matrices is relevant. We determine the pattern of the flows and identify the operators that…

High Energy Physics - Theory · Physics 2007-05-23 Kentaro Hori

We review recent developments in the theory of renormalisation group flows in minimal models with boundaries. Among these, we discuss in particular the perturbative calculations of Recknagel et al, not only as a tool to predict the IR…

High Energy Physics - Theory · Physics 2007-05-23 K. Graham , I. Runkel , G. M. T. Watts

We use the variational principle approach to derive the large $N$ holographic dictionary for two-dimensional $T\bar T$-deformed CFTs, for both signs of the deformation parameter. The resulting dual gravitational theory has mixed boundary…

High Energy Physics - Theory · Physics 2021-02-03 Monica Guica , Ruben Monten

We consider the Blume-Capel spin model on a finite cylinder with reservoirs at the boundary. A model with spin variable $\sigma$ taking values in {-1, 0, 1}, with the superposition of two dynamics: in the bulk, the spins evolve according to…

Dynamical Systems · Mathematics 2026-03-03 Mustapha Mourragui , Nicolas Prévost