Conformal field theory, boundary conditions and applications to string theory
C. Schweigert, J. Fuchs, J. Walcher

TL;DR
This paper introduces two-dimensional conformal field theory and explores its applications in string theory, focusing on boundary conditions and D-branes in curved backgrounds using CFT on surfaces with boundary.
Contribution
It provides an overview of modern conformal field theory concepts and their application to D-branes in string theory, especially in strong curvature regimes.
Findings
Explanation of conformal field theory concepts
Application of CFT to D-branes in curved backgrounds
Use of boundary CFT in string theory studies
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.
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