We study the interplay between mass deformations and unoriented projections of super-conformal quiver gauge theories resulting from D3-branes at (toric) Calabi-Yau singularities. We focus on simple orbifold cases (ℂ 3 /ℤ 3 and ℂ 3 /ℤ 4 ) and their non-orbifold descendants. This allows us to generalize the construction rules and clarify points that have been previously overlooked. In particular we spell out the conditions of anomaly cancellations as well as super-conformal invariance that typically require the introduction of flavour branes, which in turn may spoil toric symmetry. Finally, we discuss duality cascades in this context and the interplay between Seiberg/toric duality and unoriented projection with (or without) mass deformations.

中文翻译：

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无定向箭袋理论的质量变形

我们研究了质量变形与超共形颤动规范理论的无定向投影之间的相互作用，该理论由（复曲面）Calabi-Yau 奇点处的 D3-膜引起。我们专注于简单的orbifold case（ℂ 3 /ℤ 3 和ℂ 3 /ℤ 4 ）及其非orbifold后代。这使我们能够概括构造规则并澄清以前被忽视的要点。特别地，我们阐明了异常取消的条件以及通常需要引入风味膜的超共形不变性，这反过来可能会破坏复曲面对称性。最后，我们在此背景下讨论对偶级联以及 Seiberg/环面二元性和具有（或不具有）质量变形的无定向投影之间的相互作用。