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Related papers: Exceptional boundary states at c=1

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We revisit the question of conformal boundary conditions in the compact free boson CFT in two dimensions. Besides the well-known Neumann and Dirichlet cases, there is an additional proposed one-parameter family of boundary states when the…

High Energy Physics - Theory · Physics 2026-05-20 Yucong Cai , Daniel Robbins , Hassaan Saleem

We generalize the idea of boundary states to the open string channel. They describe emission and absorption of open strings in the presence of intersecting D-branes. We construct the explicit oscillator representation for the free boson and…

High Energy Physics - Theory · Physics 2008-11-26 Yosuke Imamura , Hiroshi Isono , Yutaka Matsuo

A family of conformal boundary states for a free boson on a circle is constructed. The family contains superpositions of conventional U(1)-preserving Neumann and Dirichlet branes, but for general parameter values the boundary states are…

High Energy Physics - Theory · Physics 2010-02-03 M. R. Gaberdiel , A. Recknagel

We study a relationship between conformally invariant boundary conditions and anomalies of conformal field theories (CFTs) in 1+1 dimensions. For a given CFT with a global symmetry, we consider symmetric gapping potentials which are…

High Energy Physics - Theory · Physics 2024-07-12 Linhao Li , Chang-Tse Hsieh , Yuan Yao , Masaki Oshikawa

We show that the conformally invariant boundary conditions for the three-state Potts model are exhausted by the eight known solutions. Their structure is seen to be similar to the one in a free field theory that leads to the existence of…

High Energy Physics - Theory · Physics 2009-10-31 J. Fuchs , C. Schweigert

We study entanglement entropy of boundary states in a free bosonic conformal field theory. A boundary state can be thought of as composed of a particular combination of left and right-moving modes of the two-dimensional conformal field…

High Energy Physics - Theory · Physics 2015-06-22 Leopoldo A. Pando Zayas , Norma Quiroz

We revisit the exact solution of the two space-time dimensional quantum field theory of a free massless boson with a periodic boundary interaction and self-dual period. We analyze the model by using a mapping to free fermions with a…

High Energy Physics - Theory · Physics 2008-11-26 M. Hasselfield , Taejin Lee , G. W. Semenoff , P. C. E. Stamp

We give an explicit construction of the complete set of Cardy boundary states that respect the extended chiral algebra for symmetric product orbifolds. The states are labelled by a choice of seed theory boundary states as well as a choice…

High Energy Physics - Theory · Physics 2022-02-09 Alexandre Belin , Shovon Biswas , James Sully

We study the sewing constraints for rational two-dimensional conformal field theory on oriented surfaces with possibly non-empty boundary. The boundary condition is taken to be the same on all segments of the boundary. The following…

High Energy Physics - Theory · Physics 2009-02-26 Jens Fjelstad , Jurgen Fuchs , Ingo Runkel , Christoph Schweigert

We investigate the discrete spectrum of the Hamiltonian describing a quantum particle living in the two-dimensional straight strip. We impose the combined Dirichlet and Neumann boundary conditions on different parts of the boundary. Several…

Mathematical Physics · Physics 2015-06-26 Jaroslav Dittrich , Jan Kriz

The most general N=2 superconformal boundary states for the c=3 theory consisting of two (uncompactified) free bosons and fermions are constructed. It is shown that the only N=2 boundary states are the familiar Dirichlet boundary states, as…

High Energy Physics - Theory · Physics 2010-04-05 Matthias R. Gaberdiel , Hanno Klemm

We discuss conformal field theories (CFTs) in rectangular geometries, and develop a formalism that involves a conformal boundary state for the 1+1d open system. We focus on the case of homogeneous boundary conditions (no insertion of a…

Mathematical Physics · Physics 2012-05-17 Roberto Bondesan , Jerome Dubail , Jesper Lykke Jacobsen , Hubert Saleur

We comment on the conformal boundary states of the c=1 free boson theory on a circle which do not preserve the U(1) symmetry. We construct these Virasoro boundary states at a generic radius by a simple asymmetric shift orbifold acting on…

High Energy Physics - Theory · Physics 2010-02-03 Li-Sheng Tseng

Conformal Field Theories (CFTs) have rich dynamics in heavy states. We describe the constraints due to spontaneously broken boost and dilatation symmetries in such states. The spontaneously broken boost symmetries require the existence of…

High Energy Physics - Theory · Physics 2021-09-29 Zohar Komargodski , Márk Mezei , Sridip Pal , Avia Raviv-Moshe

The entanglement spectra for a subsystem in a spin chain fine-tuned to a quantum-critical point contains signatures of the underlying quantum field theory that governs its low-energy properties. For an open chain with given boundary…

Quantum Physics · Physics 2025-09-26 Ananda Roy , Sergei L. Lukyanov , Hubert Saleur

We consider the field theory of $N$ massless bosons which are free except for an interaction localized on the boundary of their 1+1 dimensional world. The boundary action is the sum of two pieces: a periodic potential and a coupling to a…

High Energy Physics - Theory · Physics 2009-10-28 Ali Yegulalp

We study boundary conditions for the bosonic, spinning (NSR) and Green-Schwarz open string, as well as for 1+1 dimensional supergravity. We consider boundary conditions that arise from (1) extremizing the action, (2) BRST, rigid or local…

High Energy Physics - Theory · Physics 2010-12-03 Ulf Lindstrom , Martin Rocek , Peter van Nieuwenhuizen

We construct the complete set of boundary states of two-dimensional fermionic CFTs using that of the bosonic counterpart. We see that there are two groups of boundary conditions, which contributes to the open-string partition function by…

High Energy Physics - Theory · Physics 2021-11-24 Hiromi Ebisu , Masataka Watanabe

We initiate a study of the boundary version of the square-lattice $Q$-state Potts antiferromagnet, with $Q \in [0,4]$ real, motivated by the fact that the continuum limit of the corresponding bulk model is a non-compact CFT, closely related…

Statistical Mechanics · Physics 2020-03-31 Niall F. Robertson , Jesper Lykke Jacobsen , Hubert Saleur

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
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