Dimers in a Bottle

Eduardo García-Valdecasas , Shani Meynet , Antoine Pasternak , Valdo Tatitscheff (1)

1 IRMA - Institut de Recherche Mathématique Avancée

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 à la Klebanov-Strassler. The remaining involutions lead to non-supersymmetric setups, thus exhausting the possible orientifolds on dimers.

Mots clés: Brane Dynamics in Gauge Theories; D-branes; Supersymmetric Gauge Theory; Gauge-gravity correspondence; membrane model: fractional; orientifold; fixed point; singularity; D-brane; trigger; torus; Dimer

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Eduardo García-Valdecasas, Shani Meynet, Antoine Pasternak, Valdo Tatitscheff. Dimers in a Bottle. Journal of High Energy Physics, 2021, 04, pp.274. ⟨10.1007/JHEP04(2021)274⟩. ⟨hal-03129539⟩