Multi-planarizable quivers, orientifolds, and conformal dualities

Abstract

We study orientifold projections of families of four-dimensional $$ \mathcal{N} $$ N = 1 toric quiver gauge theories. We restrict to quivers that have the unusual property of being associated with multiple periodic planar diagrams which give rise, in general, to inequivalent models. A suitable orientifold projection relates a subfamily of the latter by conformal duality. That is, there exist exactly marginal deformations that connect the projected models. The deformations take the form of a sign flip in some of the superpotential interactions, similarly to the β-deformation of $$ \mathcal{N} $$ N = 4 SYM. Our construction generalizes previous results on the orientifold projections of the PdP3b and PdP3c singularities.

Algebro-geometrical orientifold and IR dualities

“… Some examples of the IR duality due to orientifold in scenario III seems to be explained and interpreted, from the field theory point of view, in terms of inherited S-duality from the  2 = case. The authors observe that the duality for the  1 = models discussed in [19] corresponds to S-duality at different points of the conformal manifold [36][37][38]. Therefore the duality between the two unoriented models can be thought of as a conformal duality.…”