Phases of supersymmetric gauge theories from M-theory on G2 manifolds
P. Kaste, A. Kehagias, H. Partouche
Abstract
We consider M-theory on compact spaces of G2 holonomy constructed as orbifolds of the form (CY x S1)/Z2 with fixed point set Σon the CY. This describes N=1 SU(2) gauge theories with b1(Σ) chiral multiplets in the adjoint. For b1=0, it generalizes to compact manifolds the study of the phase transition from the non-Abelian to the confining phase through geometrical S3 flops. For b1=1, the non-Abelian and Coulomb phases are realized, where the latter arises by desingularization of the fixed point set, while an S2 x S1 flop occurs. In addition, an extremal transition between G2 spaces can take place at conifold points of the CY moduli space where unoriented membranes wrapped on CP1 and RP2 become massless.
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