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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

The integrable perturbation of the degenerate boundary condition (d) by the $\phi_{1,3}$ boundary field generates a renormalization group flow down to the superposition of Cardy boundary states (+)&(-). Exact Thermodynamic Bethe Ansatz…

High Energy Physics - Theory · Physics 2011-02-16 Giovanni Feverati

We study the boundary states of (p', p) rational conformal field theories having a W symmetry of the type A(r) using the multi-component free-field formalism. The classification of primary fields for these models given in the literature is…

High Energy Physics - Theory · Physics 2016-11-23 Alexandre F. Caldeira , John F. Wheater

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

In this paper we consider excited state g-functions, that is, overlaps between boundary states and excited states in boundary conformal field theory. We find a new method to calculate these overlaps numerically using a variation of the…

High Energy Physics - Theory · Physics 2015-06-03 Gabor Takacs , Gerard Watts

An open supersymmetric t-J chain with boundary fields is studied by means of the Bethe Ansatz. Ground state properties for the case of an almost half-filled band and a bulk magnetic field are determined. Boundary susceptibilities are…

Condensed Matter · Physics 2016-08-31 Fabian H. L. Essler

Finite pieces of locally isostatic networks have a large number of floppy modes because of missing constraints at the surface. Here we show that by imposing suitable boundary conditions at the surface, the network can be rendered…

Disordered Systems and Neural Networks · Physics 2017-11-15 Louis Theran , Anthony Nixon , Elissa Ross , Mahdi Sadjadi , Brigitte Servatius , M. F. Thorpe

We study the boundary states for the rational points in the moduli spaces of c=1 conformal and c=3/2 superconformal field theories, including the isolated Ginsparg points. We use the orbifold and simple-current techniques to relate the…

High Energy Physics - Theory · Physics 2010-02-03 Andrea Cappelli , Giuseppe D'Appollonio

We develop a new way to calculate the overlap of a boundary state with a finite volume bulk state in the truncated conformal space approach. We check this method in the thermally perturbed Ising model analytically, while in the scaling…

High Energy Physics - Theory · Physics 2021-02-24 Zoltan Bajnok , Tamas Lajos Tompa

We develop new techniques for studying the modular and the relative modular flows of general excited states. We show that the class of states obtained by acting on the vacuum (or any cyclic and separating state) with invertible operators…

High Energy Physics - Theory · Physics 2021-10-22 Nima Lashkari , Hong Liu , Srivatsan Rajagopal

The interplay between bulk properties and boundary conditions in one-dimensional quantum systems, gives rise to many intriguing phenomena. These include the emergence of zero energy modes which are of significant interest to a variety of…

Strongly Correlated Electrons · Physics 2025-06-02 Parameshwar R. Pasnoori , Patrick Azaria , Colin Rylands , Natan Andrei

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

Langlands recently constructed a map that factorizes the partition function of a free boson on a cylinder with boundary condition given by two arbitrary functions in the form of a scalar product of boundary states. We rewrite these boundary…

High Energy Physics - Theory · Physics 2008-11-26 Marc-Andre Lewis , Yvan Saint-Aubin

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 massless bosonic field compactified on the circle of rational $R^2$ is reexamined in the presense of boundaries. A particular class of models corresponding to $R^2=\frac{1}{2k}$ is distinguished by demanding the existence of a…

High Energy Physics - Theory · Physics 2011-07-19 Ioannis Smyrnakis

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 short-range ferromagnetic models residing on planar manifolds with global negative curvature. We show that the local metric properties of the embedding surface induce droplet formation from the boundary, resulting in the stability…

Statistical Mechanics · Physics 2007-05-23 J. C. Angles d'Auriac , R. Melin , P. Chandra , B. Doucot

In this paper we obtain natural boundary conditions for a large class of variational problems with free boundary values. In comparison with the already existing examples, our framework displays complete freedom concerning the topology of…

Differential Geometry · Mathematics 2013-02-20 Giovanni Moreno , Monika Ewa Stypa

It has long been known that the moduli space of hyperbolic metrics on the disc can be identified with the Virasoro coadjoint orbit $\mathrm{Diff}^+(S^1) / \mathrm{SL}(2,\mathbb{R})$. The interest in this relationship has recently been…

High Energy Physics - Theory · Physics 2024-10-17 Matthias Blau , Donald R. Youmans

We unveil the mechanism for the formation of puzzled boundary-localized bound states in a spinless fermionic open lattice with nearest-neighbor interactions. By solving the Bethe-ansatz equation analytically, we uncover asymmetrical string…

Quantum Gases · Physics 2025-05-30 Yanxia Liu , Shu Chen
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