Phys. They are intended as an introduction to conformal field theories in various dimensions, with applications related to topics of particular interest: topics include the conformal bootstrap program, boundary conformal field theory, and applications related to the AdS/CFT correspondence. This chapter is an introduction to conformal field theory (CFT) which is the basic tool for studying world-sheet properties of string theory. Published in: Lect.Notes Phys. Conformal INTRODUCTION TO CONFORMAL FIELD THEORY AND STRING THEORY* Lance J. Dixon Stanford Linear Accelerator Center Stanford University Stanford, CA 94309 ABSTRACT I give an elementary introduction to conformal field theory and its applications to string theory. The central charge and the Virasoro algebra 4. 779 (2009) 1-256; DOI: 10.1007/978-3-642-00450-6; cite . Citations per year. The canonical reference for learning conformal field theory is the excellent review by Ginsparg. B241 (1984). Field Theory”, Nucl. ), Erik Plauschinn (Munich, Max Planck Inst.) A link can be found on the course webpage. 256 pages. Based on class-tested notes, this text offers an introduction to Conformal Field Theory with a special emphasis on computational techniques of relevance for String Theory. It introduces Conformal Field Theory at a basic level, Kac-Moody algebras, one-loop partition functions, Superconformal Field Theories, Gepner Models and Boundary Conformal Field Theory. Introduction to Conformal Field Theory: With Applications to String Theory Ralph Blumenhagen , Erik Plauschinn (auth.) First, we discuss CFT defined on the complex plane, which is relevant for closed strings at tree level. These lectures consisted of an elementary introduction to conformal field theory, with some applications to statistical mechanical systems, and fewer to string theory. Dec 14, 2009. B271 (1986). Conformal theories in 2 dimensions 3. Kac determinant and unitarity 5. As an application, we then discuss the CFT of a free boson, i.e. Phys. The application to string theory was explained by Friedan, Martinec and Shenker in “Conformal Invariance, Supersymmetry and String Theory”, Nucl. string theory in flat space. Ralph Blumenhagen (Munich, Max Planck Inst. Contents: 1. Introduction to conformal field theory: with applications to String theory. I. Identication of m = 3 with the critical Ising model 6. In string theory conformal eld theory is also very important. Conformal theories in d dimensions 2. The target of the project is to understand and study the basics of Conformal Field Theory and how minimal models(In operator formalism) are important in many basic theories. Based on class-tested notes, this text offers an introduction to Conformal Field Theory with a special emphasis on computational techniques of relevance for String Theory.

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