CFTs for Type II and Heterotic String Vacua

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


In this chapter we present various conformal field theory constructions which describe string theories in six and four space-time dimensions. We start with some general comments about strings moving in compactified spaces and then continue our investigation from Sect. 10.5 on strings in orbifold spaces. We then generalize the construction of non-oriented string theories to compact dimensions and discuss the prototype example of an orientifold on the compact space \({T}^{4}/{\mathbb{Z}}_{2}\). In this model we introduce fractional D-branes to cancel the tadpoles. Next, on a more abstract level, we outline the general structure a CFT must at least have in order to lead to a space-time supersymmetric compactification. Finally, we provide two concrete four dimensional realizations in terms of certain classes of \(N = 2\)superconformal field theories. The first are the so-called Gepner models and the second are heterotic generalizations of the covariant lattice approach from  Chap. 13.


Gauge Group Conjugacy Class Vertex Operator Wilson Line Heterotic String 
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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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