Dimers in a Bottle

TL;DR

This paper classifies orientifold actions on dimer models for D3-branes at toric CY3 singularities, revealing new projections and resulting in novel supersymmetric and non-supersymmetric theories with rich RG-flow behaviors.

Contribution

It introduces a classification of orientifold involutions on dimers, including fixed-point free maps leading to Klein bottles, and explores their implications for constructing new SCFTs.

Findings

Discovery of new orientifold projections related to Klein bottles.

Identification of fractional branes triggering RG cascades.

Exhaustive classification including non-supersymmetric setups.

Abstract

We revisit D3-branes at toric CY$_3$ singularities with orientifolds and their description in terms of dimer models. We classify orientifold actions on the dimer through smooth involutions of the torus. In particular, we describe new orientifold projections related to maps on the dimer without fixed points, leading to Klein bottles. These new orientifolds lead to novel $\mathcal{N}=1$ SCFT's that resemble, in many aspects, non-orientifolded theories. For instance, we recover the presence of fractional branes and some of them trigger a cascading RG-flow \`a la Klebanov-Strassler. The remaining involutions lead to non-supersymmetric setups, thus exhausting the possible orientifolds on dimers.