Algebro-geometrical orientifolds and IR dualities

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.

arXiv commentPeer reviewed final version

References in corpus (27)

• Dirichlet-Branes and Ramond-Ramond Charges
• Phases of $N=2$ Theories In Two Dimensions
• Superconformal Field Theory on Threebranes at a Calabi-Yau Singularity
• Exactly Marginal Operators and Duality in Four Dimensional N=1 Supersymmetric Gauge Theory
• Open Strings
• Gauge Theories from Toric Geometry and Brane Tilings
• Brane Dimers and Quiver Gauge Theories
• Black Hole Condensation and the Unification of String Vacua
• Dimer models and toric diagrams
• Calabi-Yau Moduli Space, Mirror Manifolds and Spacetime Topology Change in String Theory
• String Theory on Calabi-Yau Manifolds
• R-charges from toric diagrams and the equivalence of a-maximization and Z-minimization
• Brane Tilings and Their Applications
• Brane Tilings and Reflexive Polygons
• Dimers and Orientifolds
• Brane Tilings and Specular Duality
• Unoriented Quivers with Flavour
• Bipartite Field Theories from D-Branes
• Toric geometry and local Calabi-Yau varieties: An introduction to toric geometry (for physicists)
• Orientifolds and duality cascades: confinement before the wall
• String Dualities and Toric Geometry: An Introduction
• Infrared Duality in Unoriented Pseudo del Pezzo
• Conformal S-dualities from O-planes
• Dimers, Orientifolds and Stability of Supersymmetry Breaking Vacua
• Dimers, Orientifolds and Anomalies
• $\mathcal{N}=1$ conformal dualities from unoriented chiral quivers
• 2-simplexes and superconformal central charges