Algebro-geometrical orientifolds and IR dualities

TL;DR

This paper explores algebro-geometrical methods to understand orientifold projections in quantum field theories, revealing new IR fixed points and dualities in certain scenarios, with potential holographic interpretations.

Contribution

It provides an algebro-geometrical perspective on III scenario orientifolds for toric varieties and proposes relevant operators that induce IR flows.

Findings

Identification of conditions for IR fixed points in orientifold scenarios

Proposal of relevant operators triggering IR flows

Discussion of potential holographic duals

Abstract

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