RG Fixed Points in Six Dimensions via Branes at Orbifold Singularities

Abstract

We discuss a set of generalized, necessary conditions for non-trivial, interacting fixed points in six dimensional supersymmetric field theories. We use string theory to argue for the existence of infinite families of interacting RG fixed point theories. The theories are based on certain gauge groups and matter content, which we identify, along with additional tensor multiplets. They are conjectured to arise in the world-volume of Type I D5 branes at orbifold singularities.

17 pages, harvmac. Added reference and footnote on "vector structure" terminology

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• Discrete Gauging in Six Dimensions
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• A Note on Superconformal N=2 theories and Orientifolds
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• AdS${}_7$/CFT${}_6$ with orientifolds
• Monopoles in String Theory
• Small instanton transitions for M5 fractions
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• Magnetic Lattices for Orthosymplectic Quivers
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• D-branes in Orbifold Singularities and Equivariant K-Theory
• Codimension-Three Bundle Singularities in F-Theory
• AdS5 compactifications with punctures in massive IIA supergravity
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• Hilbert Series for Moduli Spaces of Instantons on C^2/Z_n
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• Gauge Unification in Extra Dimensions: Power Corrections vs. Higher-Dimension Operators
• Compactified Little String Theories and Compact Moduli Spaces of Vacua
• Classifying Superconformal Defects in Diverse Dimensions Part I: Superconformal Lines
• Surface defects as transfer matrices
• A New Orientifold of C^2/Z_N and Six-dimensional RG Fixed Points
• Holographic duals of 6d RG flows
• New IR Dualities in Supersymmetric Gauge Theory in Three Dimensions
• E-string Quantum Curve
• The Higgs branch of Heterotic ALE instantons
• Freedom and Constraints in the K3 Landscape
• A note on T^5/Z_2 compactification of the M-theory matrix model
• On Algebraic Singularities, Finite Graphs and D-Brane Gauge Theories: A String Theoretic Perspective
• Moduli spaces of SO(8) instantons on smooth ALE spaces as Higgs branches of 4d N=2 supersymmetric theories
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• Non-Geometric Vacua of the $\text{Spin}(32)/{\mathbb{Z}}_2$ Heterotic String and Little String Theories
• On Fractional Instanton Numbers in Six Dimensional Heterotic E8 x E8 Orbifolds
• Anomaly-Free Supergravities in Six Dimensions
• On Fractional Instanton Numbers in Six Dimensional Heterotic E_8 x E_8 Orbifolds
• Transitions of Orbifold Vacua
• Gauge-Stringy Instantons in N=2 U(N) Gauge Theories
• Higher-dimensional field theories from type II supergravity
• Orientifolds and D-branes in N=2 gauged linear sigma models
• Anomaly Inflow at Singularities
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• NS Branes in Type I Theory