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We outline the structure of boundary conditions in conformal field theory. A boundary condition is specified by a consistent collection of reflection coefficients for bulk fields on the disk together with a choice of an automorphism \omega…

High Energy Physics - Theory · Physics 2007-05-23 J. Fuchs , C. Schweigert

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 introduce a finite-dimensional algebra that controls the possible boundary conditions of a conformal field theory. For theories that are obtained by modding out a Z_2 symmetry (corresponding to a so-called D_odd-type, or half-integer…

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

In two-dimensional conformal field theory, we analyze conformally invariant boundary conditions which break part of the bulk symmetries. When the subalgebra that is preserved by the boundary conditions is the fixed algebra under the action…

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

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

We discuss D-branes from a conformal field theory point of view. In this approach, branes are described by boundary states providing sources for closed string modes, independently of classical notions. The boundary states must satisfy…

High Energy Physics - Theory · Physics 2016-09-06 A. Recknagel , V. Schomerus

The interpretation of D-branes in terms of open strings has lead to much interest in boundary conditions of two-dimensional conformal field theories (CFTs). These studies have deepened our understanding of CFT and allowed us to develop new…

High Energy Physics - Theory · Physics 2009-11-10 J"urgen Fuchs , Ingo Runkel , Christoph Schweigert

Conformal blocks form a system of vector bundles over the moduli space of complex curves with marked points. We discuss various aspects of these bundles. In particular, we present conjectures about the dimensions of sub-bundles. They imply…

Quantum Algebra · Mathematics 2007-05-23 J. Fuchs , C. Schweigert

Some time ago, conformal data with affine fusion rules were found. Our purpose here is to realize some of these conformal data, using systems of free bosons and parafermions. The so constructed theories have an extended $W$ algebras which…

High Energy Physics - Theory · Physics 2009-10-31 Doron Gepner

The influence of closed string moduli on the D-brane moduli space is studied from a worldsheet point of view. Whenever a D-brane cannot be adjusted to an infinitesimal change of the closed string background, the corresponding exactly…

High Energy Physics - Theory · Physics 2008-11-26 Stefan Fredenhagen , Matthias R. Gaberdiel , Christoph A. Keller

We study conformally invariant boundary conditions that break part of the bulk symmetries. A general theory is developped for those boundary conditions for which the preserved subalgebra is the fixed algebra under an abelian orbifold group.…

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

We investigate boundary dynamics of orbifold conformal field theory involving T-duality twists. Such models typically appear in contexts of non-geometric string compactifications that are called monodrofolds or T-folds in recent literature.…

High Energy Physics - Theory · Physics 2009-06-11 Shinsuke Kawai , Yuji Sugawara

In this paper we construct path integral representations of the boundary states in some special backgrounds such as the U(1) gauge field background, the linear dilaton background and the open string tachyon background. The initial purpose…

High Energy Physics - Theory · Physics 2009-10-31 Yong Zhang

In non-diagonal conformal models, the boundary fields are not directly related to the bulk spectrum. We illustrate some of their features by completing previous work of Lewellen on sewing constraints for conformal theories in the presence…

High Energy Physics - Theory · Physics 2009-10-30 Gianfranco Pradisi , Augusto Sagnotti , Yassen S. Stanev

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

The question of boundary conditions in conformal field theories is discussed, in the light of recent progress. Two kinds of boundary conditions are examined, along open boundaries of the system, or along closed curves or ``seams''. Solving…

High Energy Physics - Theory · Physics 2017-08-23 V. B. Petkova , J. -B. Zuber

Various structural properties of the space of symmetry breaking boundary conditions that preserve an orbifold subalgebra are established. To each such boundary condition we associate its automorphism type. It is shown that correlation…

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

Boundary conditions play a non trivial role in string theory. For instance the rich structure of D-branes is generated by choosing appropriate combinations of Dirichlet and Neumann boundary conditions. Furthermore, when an antisymmetric…

High Energy Physics - Theory · Physics 2008-11-26 Nelson R. F. Braga , Hector L. Carrion , Cresus F. L. Godinho

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

We show that the boundary states satisfy a nonlinear relation (the idempotency equation) with respect to the star product of closed string field theory. This relation is universal in the sense that various D-branes, including the…

High Energy Physics - Theory · Physics 2009-11-10 Isao Kishimoto , Yutaka Matsuo , Eitoku Watanabe
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