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Boundary conformal field theory (BCFT) is simply the study of conformal field theory (CFT) in domains with a boundary. It gains its significance because, in some ways, it is mathematically simpler: the algebraic and geometric structures of…

High Energy Physics - Theory · Physics 2008-02-20 John Cardy

Two-dimensional conformal field theory (CFT) has several sources: the search for simple examples of quantum field theory, the description of surface critical phenomena, the study of (super)string vacua. In the present overview of the…

Mathematical Physics · Physics 2014-11-18 I. T. Todorov

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

Over the last few years, string theory has changed profoundly. Most importantly, novel duality relations have emerged which involve gauge theories of brane excitations on one side and various closed string backgrounds on the other. In this…

High Energy Physics - Theory · Physics 2007-05-23 Volker Schomerus

A comprehensive introduction to two-dimensional conformal field theory is given.

High Energy Physics - Theory · Physics 2014-11-18 Matthias R Gaberdiel

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

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 study conformal field theory correlation functions relevant for string diagrams with open strings that stretch between several parallel branes of different dimensions. In the framework of conformal field theory, they involve boundary…

High Energy Physics - Theory · Physics 2009-10-31 J. Froehlich , O. Grandjean , A. Recknagel , V. Schomerus

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

This is a brief introduction to the subject of Conformal Field Theory on surfaces with boundaries and crosscaps, which describes the perturbative expansion of open string theory.

High Energy Physics - Theory · Physics 2011-07-19 Beatriz Gato-Rivera

This is a review of two-dimensional conformal field theory including some of the relations to integrable models. An effort is made to develop the basic formalism in a way which is as elementary and flexible as possible at the same time.…

High Energy Physics - Theory · Physics 2017-08-04 Joerg Teschner

We summarize the results obtained in the last few years about permutation orbifolds in two-dimensional conformal field theories, their application to string theory and their use in the construction of four-dimensional heterotic string…

High Energy Physics - Theory · Physics 2011-11-07 M. Maio

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

We discuss novel properties of the string field and the Open String Field Theory action arising in a system with multiple D-branes, then use the level truncation scheme to study marginal deformations and tachyon condensation in a system…

High Energy Physics - Theory · Physics 2015-06-04 Joanna L. Karczmarek , Matheson Longton

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

Introduction to two dimensional conformal field theory on open and unoriented surfaces. The construction is illustrated in detail on the example of SU(2) WZW models.

High Energy Physics - Theory · Physics 2007-05-23 Yassen S. Stanev

An introduction to the construction of D-branes using conformal field theory methods is given. A number of examples are discussed in detail, in particular the construction of all conformal D-branes for the theory of a single free boson on a…

High Energy Physics - Theory · Physics 2015-06-26 Matthias R Gaberdiel

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

Boundary conformal field theory (BCFT) is the study of conformal field theory (CFT) on manifolds with a boundary. We can use conformal symmetry to constrain correlation functions of conformal invariant fields. We compute two-point and…

High Energy Physics - Theory · Physics 2012-09-11 M. R. Setare , V. Kamali

Recently a boundary string field theory that had been proposed some time ago, was used to calculate correctly the ratios of D-brane (both BPS and non-BPS) tensions. We discuss how this work is related to the boundary state formalism and…

High Energy Physics - Theory · Physics 2009-11-07 S. P. de Alwis
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