Wednesday, August 1, 2012

1207.7205 (Sergio Cecotti et al.)

4d N=2 Gauge Theories and Quivers: the Non-Simply Laced Case    [PDF]

Sergio Cecotti, Michele Del Zotto
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.
View original: http://arxiv.org/abs/1207.7205

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