Dimers and orientifolds

Abstract

We introduce new techniques based on brane tilings to investigate D3-branes probing orientifolds of toric Calabi-Yau singularities. With these new tools, one can write down many orientifold models and derive the resulting low-energy gauge theories living on the D-branes. Using the set of ideas in this paper one recovers essentially all orientifolded theories known so far. Furthermore, new orientifolds of non-orbifold toric singularities are obtained. The possible applications of the tools presented in this paper are diverse. One particular application is the construction of models which feature dynamical supersymmetry breaking as well as the computation of D-instanton induced superpotential terms.

Properly ordered dimers,R-charges, and an efficient inverse algorithm

“…It would be interesting to see if our results could apply to the three-dimensional dimers discussed in [32] and the orientifold dimers discussed in [33].…”

Un-oriented quiver theories for Majorana neutrons

“…Quivers can be complicated, by the inclusion of Ω-planes and flavor branes. These generically break superconformal invariance [63]. Including such elements seems necessary for realistic particle physics model building [63,[73][74][75][76], in open string theories [64,72].…”

“…These generically break superconformal invariance [63]. Including such elements seems necessary for realistic particle physics model building [63,[73][74][75][76], in open string theories [64,72]. The brane system is located at the fixed point of the orientifold involution, and the low energy dynamics is described, locally, by an un-oriented quiver theory, with local tadpole cancellation for its consistency at the quantum level, i.e.…”

Affleck-Dine baryogenesis in effective supergravity

“…For the hidden sector, one may choose a model that breaks supersymmetry globally. Inflation with Polonyi or O'Raifeartaigh models [41], [42] with W hidden = ξ 0 +µ 2 ξ have been studied recently in this context [43]. One has F ξ F T during inflation, and thus for γ > 1 one obtains acceptable conditions for AD baryogenesis.…”