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 a...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.展开更多
文摘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.
