Conformal Field Theory III: Superconformal Field Theory

  • Ralph Blumenhagen
  • Dieter Lüst
  • Stefan Theisen
Part of the Theoretical and Mathematical Physics book series (TMP)


In Chap. 4 we have demonstrated the usefulness of conformal field theory as a tool for the bosonic string. In the same way as conformal symmetry was a remnant of the reparametrization invariance of the bosonic string in conformal gauge, superconformal invariance is a remnant of local supersymmetry of the fermionic string in super-conformal gauge. This leads us to consider superconformal field theory. In many aspects our discussion of superconformal field theory parallels that of conformal field theory, and we will treat those rather briefly. Of special interest are N = 2 superconformal field theories, as they are related to space-time supersymmetry. These theories show some new features which we will present in more detail.


Conformal Weight Superconformal Algebra Bosonic String Chiral Ring High Weight Representation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Ralph Blumenhagen
    • 1
  • Dieter Lüst
    • 2
  • Stefan Theisen
    • 3
  1. 1.Werner-Heisenberg-Institut Max-Planck-Institut für PhysikMünchenGermany
  2. 2.Arnold-Sommerfeld Zentrum für Theoretische PhysikLudwig-Maximilians Universität MünchenMünchenGermany
  3. 3.Albert-Einstein-Institut Max-Planck-Institut für GravitationsphysikGolmGermany

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