Abstract
We consider D-branes at orientifold singularities and discuss two properties of the corresponding low energy four-dimensional effective theories which are not shared, generically, by other Calabi-Yau singularities. The first property is that duality cascades are finite and, unlike ordinary ones, do not require an infinite number of degrees of freedom to be UV-completed. The second is that orientifolds tend to stabilize runaway directions. These two properties can have interesting implications and widen in an intriguing way the variety of gauge theories one can describe using D-branes.
Highlights
Superpotential interactions, etc...), which can have diverse applications
This one-kind fractional branes case does not differ in any sensible manner from the chiral orientifold considered in section 2 and shares with it its RG-flows, like finite duality cascades leading to confinement
The first is that duality cascades are finite
Summary
Let us focus on an orientifold line of the F0 theory, a chiral Z2 orbifold of the conifold. Non-orientifolded F0 theory and that of the orientifold F0/Ω are depicted in figure 1. R = 1/2 and ∆ = 3/4 (meaning that the anomalous dimension is γ = −1/2 for all matter fields) Given these quantum numbers, it is easy to check that for N = Ni the parent theory has vanishing β-functions. Differently from F0, and more generally any non-orientifolded quiver gauge theory, the orientifold theory does not enjoy a stable conformal phase, once 1/N corrections are taken into account. This is due to the tension and RR charge carried by the O7-planes. Note that at a Calabi-Yau singularity, O7-planes, very much like D7-branes, do couple to the dilaton and the RR 8-form potential, and to lower dimensional RR forms, and, carry non-trivial fractional D3-brane charge [11]
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