New N=1 dualities from orientifold transitions - Part II: String Theory

Abstract

We present a string theoretical description, given in terms of branes and orientifolds wrapping vanishing cycles, of the dual pairs of gauge theories analyzed in 1210.7799. Based on the resulting construction we argue that the duality that we observe in field theory is inherited from S-duality of type IIB string theory. We analyze in detail the complex cone over the zeroth del Pezzo surface and discuss an infinite family of orbifolds of flat space. For the del Pezzo case we describe the system in terms of large volume objects, and show that in this language the duality can be understood from the strongly coupled behavior of the O7^+ plane, which we analyze using simple F-theory considerations. For all cases we also give a different argument based on the existence of appropriate torsional components of the 3-form flux lattice. Along the way we clarify some aspects of the description of orientifolds in the derived category of coherent sheaves, and in particular we discuss the important role played by exotic orientifolds - ordinary orientifolds composed with auto-equivalences of the category - when describing orientifolds of ordinary quiver gauge theories.

51 pages, 16 figures; v2: minor changes, added references, published version

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Cited by in corpus (19)

• The Standard Model Quiver in de Sitter String Compactifications
• A slow review of the AGT correspondence
• One Loop to Rule Them All: Eight and Nine Dimensional String Vacua from Junctions
• Hilbert Series for Moduli Spaces of Instantons on C^2/Z_n
• S-duality in $\mathcal{N}=1$ orientifold SCFTs
• Dualities from dualities: the sequential deconfinement technique
• The $SL(2,\mathbb{Z})$ dualization algorithm at work
• S-confinements from deconfinements
• Infrared Duality in Unoriented Pseudo del Pezzo
• Orientifolds of Warped Throats from Toric Calabi-Yau Singularities
• Mass Deformations of Unoriented Quiver Theories
• Conformal S-dualities from O-planes
• S-duality of nonsupersymmetric gauge theories
• Non-Supersymmetric Brane Configurations, Seiberg Duality and Dynamical Symmetry Breaking
• Boundary confining dualities and Askey-Wilson type $q$-beta integrals
• 3d exceptional gauge theories and boundary confinement
• $\mathcal{N}=1$ conformal dualities from unoriented chiral quivers
• Strongly coupled phases of $\mathcal{N}=1$ S-duality
• Sequential deconfinement and self-dualities in $4d$ $\mathcal{N}=1$ gauge theories