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Related papers: Exceptional boundary states at c=1

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What does it mean for a boundary condition to be symmetric with respect to a non-invertible global symmetry? We discuss two possible definitions in 1+1d. On the one hand, we call a boundary weakly symmetric if the symmetry defects can…

High Energy Physics - Theory · Physics 2023-12-08 Yichul Choi , Brandon C. Rayhaun , Yaman Sanghavi , Shu-Heng Shao

The bound state spectrum and the associated reflection factors are determined for the sine-Gordon model with arbitrary integrable boundary condition by closing the bootstrap. Comparing the symmetries of the bound state spectrum with that of…

High Energy Physics - Theory · Physics 2009-11-07 Z. Bajnok , L. Palla , G. Takacs , G. Zs. Toth

Motivated by recent developments in string theory, we study the structure of boundary conditions in arbitrary conformal field theories. A boundary condition is specified by two types of data: first, a consistent collection of reflection…

High Energy Physics - Theory · Physics 2009-10-30 J. Fuchs , C. Schweigert

We study nonchiral wave functions for systems with continuous spins obtained from the conformal field theory (CFT) of a free, massless boson. In contrast to the case of discrete spins, these can be treated as bosonic Gaussian states, which…

Strongly Correlated Electrons · Physics 2018-10-01 Benedikt Herwerth , Germán Sierra , J. Ignacio Cirac , Anne E. B. Nielsen

Conformal fields with boundaries give rise to rich critical phenomena that can reveal information about the underlying conformality. While most existing studies focus on Hermitian systems, here we explore boundary critical phenomena in a…

Statistical Mechanics · Physics 2026-01-01 Yin Tang , Qianyu Liu , Qicheng Tang , W. Zhu

For the case of the SU(2) WZW model at level one, the boundary states that only preserve the conformal symmetry are analysed. Under the assumption that the usual Cardy boundary states as well as their marginal deformations are consistent,…

High Energy Physics - Theory · Physics 2009-11-07 M. R. Gaberdiel , A. Recknagel , G. M. T. Watts

We construct boundary states in a particular c=1 conformal field theory, the SU(2)_1/G orbifold with G a binary finite subgroup of SU(2). These states preserve the conformal symmetry, at least, but break rational symmetries of the SU(2)_1/G…

High Energy Physics - Theory · Physics 2009-11-10 A. Yamaguchi

The c=1 Liouville theory has received some attention recently as the Euclidean version of an exact rolling tachyon background. In an earlier paper it was shown that the bulk theory can be identified with the interacting c=1 limit of unitary…

High Energy Physics - Theory · Physics 2009-11-10 Stefan Fredenhagen , Volker Schomerus

We present a model-independent study of boundary states in the Cardy case that covers all conformal field theories for which the representation category of the chiral algebra is a - not necessarily semisimple - modular tensor category. This…

Quantum Algebra · Mathematics 2018-05-23 Jürgen Fuchs , Terry Gannon , Gregor Schaumann , Christoph Schweigert

We study the interplay between spectrum, geometry and boundary conditions for two distinguished self-adjoint realisations of the Laplacian on infinite metric graphs, the so-called riedrichs and Neumann extensions. We introduce a new…

Spectral Theory · Mathematics 2025-10-03 Marco Düfel , James B. Kennedy , Delio Mugnolo , Marvin Plümer , Matthias Täufer

We find the spectrum of boundary bound states for the sine-Gordon model with Dirichlet boundary conditions, closing the bootstrap and providing a complete description of all the poles in the boundary reflection factors. The boundary…

High Energy Physics - Theory · Physics 2008-11-26 Peter Mattsson , Patrick Dorey

We consider the Laplacian in a tubular neighbourhood of a hyperplane subjected to non-self-adjoint $\mathcal{PT}$-symmetric Robin boundary conditions. Its spectrum is found to be purely essential and real for constant boundary conditions.…

Mathematical Physics · Physics 2014-09-03 Radek Novak

Electromagnetic bound states in the radiation continuum are studied for periodic double arrays of subwavelength dielectric cylinders in TM polarization. They are similar to localized waveguide mode solutions of Maxwell's equations for metal…

Mathematical Physics · Physics 2010-10-05 Friends R. Ndangali , Sergei V. Shabanov

The study of conformal boundary conditions for two-dimensional conformal field theories (CFTs) has a long history, ranging from the description of impurities in one-dimensional quantum chains to the formulation of D-branes in string theory.…

High Energy Physics - Theory · Physics 2021-12-08 Scott Collier , Dalimil Mazac , Yifan Wang

In this paper we investigate the tachyon instability of open bosonic string theory applying methods of boundary conformal field theory. We consider compactifications on maximal tori of various simple Lie algebras with a specific background…

High Energy Physics - Theory · Physics 2010-11-19 K. Bardakci , A. Konechny

We use the Bethe Ansatz solution for the one dimensional Hubbard model with open boundary conditions and applied boundary fields to study the spectrum of bound states at the boundary. Depending on the strength of the boundary potentials one…

Condensed Matter · Physics 2009-10-30 Gerald Bedürftig , Holger Frahm

The existence of baryon-baryon bound states in the strangeness sector is examined in the framework of SU(3) chiral effective field theory. Specifically, the role of SU(3) symmetry breaking contact terms that arise at next-to-leading order…

Nuclear Theory · Physics 2015-02-10 J. Haidenbauer , Ulf-G. Meißner , S. Petschauer

Bound states of the Hamiltonian describing a quantum particle living on three dimensional straight strip of width $d$ are investigated. We impose the Neumann boundary condition on the two concentric windows of the radii $a$ and $ b$ located…

Mathematical Physics · Physics 2015-05-20 Hatem Najar , Oleg Olendski

The sine-Gordon model with Neumann boundary condition is investigated. Using the bootstrap principle the spectrum of boundary bound states is established. Somewhat surprisingly it is found that Coleman-Thun diagrams and bound state creation…

High Energy Physics - Theory · Physics 2014-11-18 Z. Bajnok , L. Palla , G. Takacs

We discuss the bound states of the massive Thirring model. Here, the periodic boundary condition equations for the Bethe ansatz solutions are numerically solved. It is found that the massive Thirring model has only one bound state and the…

High Energy Physics - Theory · Physics 2007-05-23 Takehisa Fujita , Makoto Hiramoto , Hidenori Takahashi