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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 consider a two-dimensional Ising field theory on a space with boundary in the presence of a piecewise constant boundary magnetic field which is allowed to change value discontinuously along the boundary. We assume zero magnetic field in…

High Energy Physics - Theory · Physics 2022-11-23 Anatoly Konechny

We study the two-matrix model which represents the sum over closed and open random surfaces coupled to an Ising Model. The boundary conditions are characterized by the fact that the Ising spins sitting at the vertices of the boundaries are…

High Energy Physics - Theory · Physics 2010-11-01 Laurent Houart

Unlike conformal boundary conditions, conformal defects of Virasoro minimal models lack classification. Alternatively to the defect perturbation theory and the truncated conformal space approach, we employ open string field theory (OSFT)…

High Energy Physics - Theory · Physics 2021-01-26 Kasia Budzik , Miroslav Rapcak , Jairo M. Rojas

The one-dimensional transverse field Ising model is solved by continuous unitary transformations in the high-field limit. A high accuracy is reached due to the closure of the relevant algebra of operators which we call string operators. The…

Strongly Correlated Electrons · Physics 2013-05-14 Benedikt Fauseweh , Götz S. Uhrig

Critical phenomena in the two-dimensional Ising model with a defect line are studied using boundary conformal field theory on the $c=1$ orbifold. Novel features of the boundary states arising from the orbifold structure, including…

High Energy Physics - Theory · Physics 2011-07-19 Masaki Oshikawa , Ian Affleck

We derive a new upper bound for the correlations in a heterogeneous one-dimensional Ising model with free boundary conditions. The new upper bound quantifies the simultaneous decay of correlations due to weakness of nearest-neighbor…

Probability · Mathematics 2026-02-10 Edward Athaide , Maciej Głuchowski , Jonas Köppl , Georg Menz

We construct and fully characterize a scalar boundary conformal field theory on a triangulated Riemann surface. The results are analyzed from a string theory perspective as tools to deal with open/closed string dualities.

High Energy Physics - Theory · Physics 2008-11-26 Mauro Carfora , Claudio Dappiaggi , Valeria L. Gili

Noncommutativity in an open bosonic string moving in the presence of a background Neveu-Schwarz two-form field $B_{\mu \nu}$ is investigated in a conformal field theory approach, leading to noncommutativity at the boundaries. In contrast to…

High Energy Physics - Theory · Physics 2008-11-26 Biswajit Chakraborty , Sunandan Gangopadhyay , Arindam Ghosh Hazra

We consider the three-dimensional Ising model slightly below its critical temperature, with boundary conditions leading to the presence of an interface. We show how the interfacial properties can be deduced starting from the particle modes…

Statistical Mechanics · Physics 2020-08-17 Gesualdo Delfino , Walter Selke , Alessio Squarcini

We construct analytic solutions of open superstring field theory for any exactly marginal deformation in any boundary superconformal field theory when properly renormalized operator products of the marginal operator are given. Our…

High Energy Physics - Theory · Physics 2009-11-18 Michael Kiermaier , Yuji Okawa

The Ising model in two dimensions with special toroidal boundary conditions is analyzed. These boundary condition, which we call duality twisted boundary conditions, may be interpreted as inserting a specific defect line ("seam") in the…

Statistical Mechanics · Physics 2017-12-27 Armen Poghosyan , Nickolay Izmailian , Ralph Kenna

There has been recent interest in conformal twisted boundary conditions and their realisations in solvable lattice models. For the Ising and Potts quantum chains, these amount to boundary terms that are related to duality, which is a proper…

High Energy Physics - Theory · Physics 2007-05-23 Uwe Grimm

We show how Boundary Conformal Field Theory deformation techniques allow for a complete characterisation of the coupling between the discrete geometry inherited uniformizing a random Regge triangulations and open string theory.

High Energy Physics - Theory · Physics 2007-05-23 Mauro Carfora , Claudio Dappiaggi , Valeria L. Gili

This is an introduction to two-dimensional conformal field theory and its applications in string theory. Modern concepts of conformal field theory are explained, and it is outlined how they are used in recent studies of D-branes in the…

High Energy Physics - Theory · Physics 2017-08-23 C. Schweigert , J. Fuchs , J. Walcher

The critical 2-dimensional Ising model is studied with four types boundary conditions: free, fixed ferromagnetic, fixed antiferromagnetic, fixed double antiferromagnetic. Using Bond Propagation algorithms with surface fields, we obtained…

Statistical Mechanics · Physics 2014-09-24 Xintian Wu , Nickolay Izmailyan

We construct a class of BRST-invariant closed string states for any classical solution of open string field theory. The closed string state is a nonlinear functional of the open string field and changes by a BRST-exact term under a gauge…

High Energy Physics - Theory · Physics 2008-10-13 Michael Kiermaier , Yuji Okawa , Barton Zwiebach

The Ising model is well-known for illustrating the fundamental characteristics of phase transitions in closed systems. In this article, we propose a generalization of the two-dimensional Ising model to open systems, considering the…

Materials Science · Physics 2024-11-11 Andriy Gusak , Serhii Abakumov

We consider a class of conformal models describing closed strings in axially symmetric stationary magnetic flux tube backgrounds. These models are closed string analogs of the Landau model of a particle in a magnetic field or the model of…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Tseytlin

We study dynamics of the one-dimensional Ising model in the presence of static symmetry-breaking boundary field via the two-time autocorrelation function of the boundary spin. We find that the correlations decay as a power law. We uncover a…

Statistical Mechanics · Physics 2024-01-02 Umar Javed , Jamir Marino , Vadim Oganesyan , Michael Kolodrubetz
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