Basics in Conformal Field Theory

  • Ralph Blumenhagen
  • Erik Plauschinn
Part of the Lecture Notes in Physics book series (LNP, volume 779)

The approach for studying Conformal Field Theories is somewhat different from the usual approach for Quantum Field Theories. Because, instead of starting with a classical action for the fields and quantising them via the canonical quantisation or the path integral method, one employs the symmetries of the theory. In the spirit of the so-called boot-strap approach, for CFTs one defines and for certain cases even solves the theory just by exploiting the consequences of the symmetries. Such a procedure is possible in two dimensions because the algebra of infinitesimal conformal transformations in this case is very special: it is infinite dimensional.


Vertex Operator Conformal Transformation Momentum Tensor Operator Product Expansion Conformal Dimension 
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© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Ralph Blumenhagen
    • 1
  • Erik Plauschinn
    • 1
  1. 1.Max-Planck-Institut für Physik Werner-Heisenberg-InstitutMünchenGermany

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