5D N=1 super QFT: symplectic quivers

Abstract

We develop a method to build new 5D $\mathcal{N}=1$ gauge models based on Sasaki-Einstein manifolds $Y^{p,q}.$ These models extend the standard 5D ones having a unitary SU${\left(p\right)}_q$ gauge symmetry based on . Particular focus is put on the building of a gauge family with symplectic SP$\left(2r,\mathbb{R}\right)$ symmetry. These super QFTs are embedded in M-theory compactified on folded toric Calabi-Yau threefolds constructed from conical $Y^{2r,0}$. By using outer-automorphism symmetries of 5D $\mathcal{N}=1$\textbf{\ }BPS quivers with unitary SU$\left(2r\right)$ gauge invariance, we also construct BPS quivers with symplectic SP$\left(2r,\mathbb{R}\right)$ gauge symmetry. Other related aspects are discussed. Keywords: SCFT${}_5$, 5D $\mathcal{N}=1$ super QFT on a finite circle, Sasaki-Einstein manifolds, BPS quivers, outer-automorphisms.

49 pages, 14 figures

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