In previous works [J. High Energy Phys. 07 (2017) 112; Phys. Rev. D 97, 046004 (2018); J. High Energy Phys. 11 (2018) 016], we studied a class of toric Calabi-Yau threefolds which engineer six-dimensional supersymmetric gauge theories with gauge group $U(N)$ and adjoint matter. The Kähler moduli space of these manifolds can be extended through flop transformations to include regions which are described by so-called shifted toric web diagrams. In this paper, we analyze gauge theories that are engineered by these shifted toric web diagrams and argue that, in specific limits, some of them engineer five-dimensional quiver gauge theories with gauge group $G\subset U(N)$ and with fundamental and bifundamental matter. We discuss several examples in detail and describe how the matter sector is obtained from the six-dimensional parent theory.

• Received 3 November 2018

DOI:https://doi.org/10.1103/PhysRevD.99.046012

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Published by the American Physical Society