Abstract
This is a set of introductory lecture notes on conformal field theory. Unlike
most existing reviews on the subject, CFT is presented here from the
perspective of a unitary quantum field theory in Minkowski space-time. It
begins with a non-perturbative formulation of quantum field theory (Wightman
axioms), and then gradually focuses on the implications of scale and special
conformal symmetry, all the way to the modern conformal bootstrap. This
approach includes topics often left out, such as subtleties of conformal
transformations in Minkowski space-time, the construction of Wightman functions
and time-ordered correlators both in position- and momentum-space, unitarity
bounds derived from the spectral representation, and the appearance of UV and
IR divergences.
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