Conformal field theory, boundary conditions and applications to string theory

Abstract

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 strong curvature regime by means of CFT on surfaces with boundary.

arXiv comment45 pages, LaTeX2e

References in corpus (18)

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• Vertex Algebras and Algebraic Curves
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• $N=2$ Supersymmetric Integrable Models and Topological Field Theories
• Notes on 2D Conformal Field Theory and String Theory
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• Meromorphic tensor categories
• Quantum vertex algebras
• Open strings, simple currents and fixed points
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Cited by in corpus (16)

• Permeable conformal walls and holography
• Bits and Pieces in Logarithmic Conformal Field Theory
• TFT construction of RCFT correlators III: Simple currents
• WZW branes and gerbes
• TFT construction of RCFT correlators IV: Structure constants and correlation functions
• Comments on nonunitary conformal field theories
• Abelian and non-Abelian branes in WZW models and gerbes
• Towards physically motivated proofs of the Poincare' and geometrization conjectures
• Boundary States of c=1 and 3/2 Rational Conformal Field Theories
• Canonical quantization of the boundary Wess-Zumino-Witten model
• Free-field realisation of boundary states and boundary correlation functions of minimal models
• Entanglement entropies of an interval for the massless scalar field in the presence of a boundary
• 2D Conformal Field Theories and Holography
• Disk one-point function for non-rational conformal theories
• Fusion rule in conformal field theories and topological orders: A unified view of correspondence and (fractional) supersymmetry and their relation to topological holography
• Second Rényi entropy and annulus partition function for one-dimensional quantum critical systems with boundaries