Enhanced gauge symmetry appears in Type II string theory (as well as F- and
M-theory) compactified on Calabi--Yau manifolds containing exceptional divisors
meeting in Dynkin configurations. It is shown that in many such cases, at
enhanced symmetry points in moduli a braid group acts on the derived category
of sheaves of the variety. This braid group covers the Weyl group of the
enhanced symmetry algebra, which itself acts on the deformation space of the
variety in a compatible fashion. Extensions of this result are given for
nontrivial B-fields on K3 surfaces, explaining physical restrictions on the
B-field, as well as for elliptic fibrations. The present point of view also
gives new evidence for the enhanced gauge symmetry content in the case of a
local A2n​-configuration in a threefold having global Z/2 monodromy.Comment: 16 pages, 5 figure