  We point out that we can almost always determine by the anomaly matching the
full anomaly polynomial of a supersymmetric theory in 2d, 4d or 6d if we assume
that its Higgs branch is the one-instanton moduli space of some group G. This
method not only provides by far the simplest method to compute the central
charges of known theories of this class, e.g. 4d E_{6,7,8} theories of Minahan
and Nemeschansky or the 6d E-string theory, but also gives us new pieces of
information about unknown theories of this class.
