S-duality in $\mathcal{N}=1$ orientifold SCFTs

Abstract

We present a general solution to the problem of determining all S-dual descriptions for a specific (but very rich) class of $\mathcal{N}=1$ SCFTs. These SCFTs are indexed by decorated toric diagrams, and can be engineered in string theory by probing orientifolds of isolated toric singularities with D3 branes. The S-dual phases are described by quiver gauge theories coupled to specific types of conformal matter which we describe explicitly. We illustrate our construction with many examples, including S-dualities in previously unknown SCFTs.

arXiv comment102 pages, 61 figures

References in corpus (52)

• Supergravity and a Confining Gauge Theory: Duality Cascades and $\chi$SB-Resolution of Naked Singularities
• N=2 dualities
• An Index for 4 dimensional Super Conformal Theories
• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
• Exactly Marginal Operators and Duality in Four Dimensional N=1 Supersymmetric Gauge Theory
• Baryons And Branes In Anti de Sitter Space
• The Exact Superconformal R-Symmetry Maximizes a
• Reading between the lines of four-dimensional gauge theories
• Counting chiral primaries in N=1 d=4 superconformal field theories
• Webs of (p,q) 5-branes, Five Dimensional Field Theories and Grid Diagrams
• Branes, Superpotentials and Superconformal Fixed Points
• D-Brane Gauge Theories from Toric Singularities and Toric Duality
• Brane Dimers and Quiver Gauge Theories
• Toroidal Compactification Without Vector Structure
• Toric Geometry, Sasaki-Einstein Manifolds and a New Infinite Class of AdS/CFT Duals
• Toric Duality Is Seiberg Duality
• Strings on Orientifolds
• Phases of N=1 supersymmetric gauge theories in four dimensions
• Varieties of vacua in classical supersymmetric gauge theories
• Exactly Marginal Deformations and Global Symmetries
• Brane Tilings
• Quivers, Tilings, Branes and Rhombi
• N=3 four dimensional field theories
• On Orientifolds, Discrete Torsion, Branes and M Theory
• Brane Tilings and Their Applications
• On the realization of chiral four-dimensional gauge theories using branes
• Orientifolds, Branes, and Duality of 4D Gauge Theories
• Discrete Anomaly Matching
• Duality in SUSY $SU(N)$ with an Antisymmetric Tensor
• Brane Boxes and Branes on Singularities
• RG Fixed Points and Flows in SQCD with Adjoints
• The Dual of Supersymmetric SU(2k) with an Antisymmetric Tensor and Composite Dualities
• Dimers and Orientifolds
• Brane Tilings and Exceptional Collections
• D-Branes on Calabi-Yau Manifolds
• Charting Class ${\mathcal{S}}_k$ Territory
• Orientifold Planes, Type I Wilson Lines and Non-BPS D-branes
• Chiral theories of class S
• Dimer models and Calabi-Yau algebras
• Misleading Anomaly Matchings?
• On the ISS model of dynamical SUSY breaking
• On Inherited Duality in N=1 d=4 Supersymmetric Gauge Theories
• Unoriented Quivers with Flavour
• New N=1 dualities from orientifold transitions - Part II: String Theory
• New N=1 dualities from orientifold transitions - Part I: Field Theory
• Exactly marginal deformations of quiver gauge theories as seen from brane tilings
• Anomalies and O-plane charges in orientifolded brane tilings
• The Duality Cascade
• Toric geometry and local Calabi-Yau varieties: An introduction to toric geometry (for physicists)
• Orientifolds of Warped Throats from Toric Calabi-Yau Singularities
• Gauge theories from D7-branes over vanishing 4-cycles
• On Exactly Marginal Deformations Dual to $B$-Field Moduli of IIB Theory on SE${}_5$

Cited by in corpus (10)

• 2-Group Symmetries and M-Theory
• Global Orientifolded Quivers with Inflation
• A slow review of the AGT correspondence
• 2D CFT blocks for the 4D class ${\mathcal{S}}_k$ theories
• Infrared Duality in Unoriented Pseudo del Pezzo
• Mass Deformations of Unoriented Quiver Theories
• Conformal S-dualities from O-planes
• Dimers, Orientifolds and Anomalies
• $\mathcal{N}=1$ conformal dualities from unoriented chiral quivers
• Symmetry TFTs from String Theory