N = 3 $$ \mathcal{N}=3 $$ four dimensional field theories

Iñaki García-Etxebarria, Diego Regalado
2016 Journal of High Energy Physics  
We introduce a class of four dimensional field theories constructed by quotienting ordinary N=4 U(N) SYM by particular combinations of R-symmetry and SL(2,Z) automorphisms. These theories appear naturally on the worldvolume of D3 branes probing terminal singularities in F-theory, where they can be thought of as non-perturbative generalizations of the O3 plane. We focus on cases preserving only 12 supercharges, where the quotient gives rise to theories with coupling fixed at a value of order
more » ... These constructions possess an unconventional large N limit described by a non-trivial F-theory fibration with base AdS_5× (S^5/Z_k). Upon reduction on a circle the N=3 theories flow to well-known N=6 ABJM theories.
doi:10.1007/jhep03(2016)083 fatcat:54m76epg7vh2tp7pdgdtccq2fa