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Boundary Conformal Field Theory and the Worldsheet Approach to D-Branes by Volker Schomerus, Andreas Recknagel

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Chapter 3 Conformal field theory on the plane

In this chapter, we give a brief overview of conformal field theory (CFT) on the plane, in an attempt to make the whole text more or less self-contained as far as worldsheet aspects are concerned. Some of the concepts to be discussed have been used in Chapter 1 already, but they will be put in a more general, model-independent context in the following. Many of the notions and tools to be reviewed will re-appear in the subsequent investigation of boundary CFT.

There are various alternative formulations of CFT, but our exposition will mainly follow the spirit of Belavin, Polyakov and Zamolodchikov [45]. One reason is that, up to now, no other framework has been adapted to boundary theories with equal ...

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