Suspended Fixed Points

Abstract

We study the orientifold of the $\mathcal{N}=1$ superconformal field theories describing D3-branes probing the Suspended Pinch Point singularity, as well as the orientifolds of non-chiral theories obtained by a specific orbifold ${\mathbb{Z}}_n$ of SPP. We find that these models realize a mechanism analogous to the one recently found for the orientifold of the complex Calabi-Yau cone over the Pseudo del Pezzo surface PdP${}_{3c}$: they all flow to a new IR fixed point such that the value of the $a$-charge is less than half the one of the oriented theory. We also find that the value of $a$ coincides with the charge of specific orientifolds of the toric singularities $L^{(\bar{n},\bar{n},\bar{n})}$ with $\bar{n}=3n/2$ for $n$ even or $L^{(\bar{n},\bar{n}+1,\bar{n})}$ with $\bar{n}=(3n-1)/2$ for $n$ odd, suggesting the existence of an IR duality.

arXiv comment41 pages, 23 figures. v2: Improved text, references added

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