Supersymmetric conformal field theory

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Abstract

In the previous chapters, we have studied Conformal Field Theories with only bosonic or only fermionic fields. However, we can formulate CFTs containing both bosons and fermions which may exhibit new symmetries. For instance, there can be symmetries exchanging bosonic and fermionic fields called supersymmetries, which have been studied intensively in many instances. In fact, also two-dimensional Conformal Field Theories can be generalised to respect supersymmetry. These so-called Superconformal Field Theories (SCFT) naturally appear in String Theory; in particular, it was shown that the pure bosonic string is unstable while a supersymmetric extension can be stable. © 2009 Springer-Verlag Berlin Heidelberg.

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Blumenhagen, R., & Plauschinn, E. (2009). Supersymmetric conformal field theory. Lecture Notes in Physics, 779, 169–204. https://doi.org/10.1007/978-3-642-00450-6_5

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