Matching type-B conformal anomalies
by Vasilis Niarchos (University of Crete)
I will revisit the standard type-A and type-B classification of conformal anomalies in conformal field theory. There are general arguments that show that type-A conformal anomalies are very similar to chiral anomalies and that they match in different phases of a theory. Such arguments do not generalize to type-B anomalies, which are expected to depend on the phase of the theory. Contrary to this general expectation, I will present a new formal argument that can be used to prove the non-perturbative matching of a certain class of type-B conformal anomalies in 4d N=2 super-conformal field theories along the Higgs branch. In such cases the corresponding anomalies are non-trivial functions of exactly marginal coupling constants that can be computed using methods of supersymmetric localisation.