Algebro-geometrical orientifold and IR dualities

Abstract

Abstract Orientifold projections are an important ingredient in the geometrical engineering of Quantum Field Theory. However, an orientifold can break down the superconformal symmetry and no new superconformal fixed points are admitted (scenario II); nevertheless, in some cases, dubbed scenarios I and III orientifold, a new IR fixed point is achieved and, for scenario III examples, some still not fully understood IR duality seems to emerge. Here we give an algebro-geometrical point of view of orientifold for toric varieties and we propose the existence of relevant operators that deform the starting oriented Conformal Field Theory triggering a flow. We briefly discuss a possible holographic description of this flow.