5D N=1 super QFT: Symplectic quivers

Abstract

We develop a method to build new 5D N=1 gauge models based on Sasaki-Einstein manifolds Yp,q. These models extend the standard 5D ones having a unitary SU(p)q gauge symmetry based on Yp,q. Particular focus is put on the building of a gauge family with symplectic SP(2r,R) symmetry. These super QFTs are embedded in M-theory compactified on folded toric Calabi-Yau threefolds Xˆ(Y2r,0) constructed from conical Y2r,0. By using outer-automorphism symmetries of 5D N=1 BPS quivers with unitary SU(2r) gauge invariance, we also construct BPS quivers with symplectic SP(2r,R) gauge symmetry. Other related aspects are discussed.