We construct the BPS quivers with superpotential for the 4d N=2 gauge
theories with non-simply laced Lie groups (B_n, C_n, F_4 and G_2). The
construction is inspired by the BIKMSV geometric engineering of these gauge
groups as non-split singular elliptic fibrations. From the categorical
viewpoint of arXiv:1203.6743, the fibration of the light category L(g) over the
(degenerate) Gaiotto curve has a monodromy given by the action of the outer
automorphism of the corresponding unfolded Lie algebra. In view of the
Katz--Vafa `matter from geometry' mechanism, the monodromic idea may be
extended to the construction of (Q, W) for SYM coupled to higher matter
representations. This is done through a construction we call specialization.Comment: 42 pages, 2 figure