4d Conformal Field Theories and Strings on Orbifolds

Abstract

We propose correspondences between 4d quantum field theories with N=2,1,0 (super)conformal invariance and Type IIB string theory on various orbifolds. We argue using the spacetime string theory, and check using the beta functions (exactly for N=2,1 and so far at 1-loop for the gauge couplings in the N=0 case), that these theories have conformal fixed lines. The latter case potentially gives well-defined non-supersymmetric vacua of string theory, with a mechanism for making the curvature and cosmological constant small at nontrivial string coupling. We suggest a correspondence between nonsupersymmetric conformal fixed lines and nonsupersymmetric string vacua with vanishing vacuum energy.

11 pages, harvmac big. Reference added

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• Why The Cosmological Constant is a Boundary Condition
• Metric Building of pp Wave Orbifold Geometries
• States of Negative Energy and $Ad{S}_5\times S_5/Z_k$
• AdS/CFT and the cosmological constant problem
• Radiative stability of tiny cosmological constant from the Swampland and quantized compactification
• The Holographic Supercurrent Anomaly
• New and Old Fermionic Dualities from 3d Bosonization
• Wilson loop correlators in $\mathcal{N}=2$ superconformal quivers
• Superstring Theory on pp Waves with ADE Geometries
• Candidates for anti-de Sitter Horizons
• Remarks on Limits on String Scale from Proton Decay and Low-Energy amplitudes in Braneworld Scenario
• Axial anomaly in the reduced model: Higher representations
• Spacetime Quotients, Penrose Limits and Conformal Symmetry Restoration
• One-loop algebras and fixed flow trajectories in adjoint multi-scalar gauge theory
• Generalized Symmetries of Non-SUSY and Discrete Torsion String Backgrounds
• The Hierarchy Problem: From the Fundamentals to the Frontiers
• Orientifold daughter of N=4 SYM and double-trace running
• Update on the Pyramid Scheme
• On type 0 string theory in solvable RR backgrounds
• Twisted supersymmetry and the topology of theory space
• The Cosmological Slingshot Scenario: Myths and Facts
• Integrated correlators of coincident Wilson lines in $SU(N)$ gauge theories at strong coupling
• Quantum Anti-de Sitter space and sphere at roots of unity
• Absorption by Threebranes and the AdS/CFT Correspondence
• Chiral correlators in $\mathcal{N}=2$ superconformal quivers
• Muon $g-2$ Anomaly from Vector-like Leptons in a 2-Higgs-doublet + Scalar Singlet Model
• Supersymmetry breaking, brane dynamics and Swampland conjectures
• Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes
• A new large-N limit and the planar equivalence outside the planar limit
• On the AdS/CFT Dual of Deconstruction
• Proton Decay Constraints on Low Scale AdS/CFT Unification
• Finite N AdS/CFT Correspondence for Abelian and Nonabelian Orbifolds, and Gauge Coupling Unification
• Holographic Duality for three-dimensional Super-conformal Field Theories
• Neveu-Schwarz Five-Branes at Orbifold Singularities and Holography
• Black branes in flux compactifications
• Understanding Fields Using Strings: A Review for Particle Physicists
• Weak Coupling Limits and Colliding Punctures in Class-S Theories
• Tachyon-Free Non-Supersymmetric Strings on Orbifolds
• S-duality and Strong Coupling Behavior of Large N Gauge Theories with N=4 Supersymmetry
• Orbifold projection in supersymmetric QCD at N_f\leq N_c
• Gauge-String Dualities and Some Applications
• Large N orbifold field theories on the twisted torus
• Large-$N_c$ gauge theory and chiral random matrix theory
• Renormalization group flows in gauge-gravity duality
• On Chern-Simons Quivers and Toric Geometry
• Emergent Supersymmetry at Large $N$
• Possible Scales of New Physics
• A Survey of Family Unification Models with Bifundamental Matter
• Exact Anomalous Dimensions for N=2 ADE SCFTs
• Inherited Duality and Quiver Gauge Theory
• BPS Wilson loop in $\mathcal{N}=2$ superconformal $SU(N)$ "orientifold" gauge theory and weak-strong coupling interpolation
• Axial anomaly in the reduced model: Higher representations
• Quiver Gauge theories from Lie Superalgebras
• From Veltman's conditions to Finite Unification
• Stratified Fiber Bundles, Quinn Homology and Brane Stability of Hyperbolic Orbifolds
• Non-Commutative Gauge Theories and the Cosmological Constant
• Topological physics in the standard model and beyond
• Theoretical Developments in SUSY
• Dualities from large N orbifold equivalence in Chern-Simons-matter theories with flavor
• Large-Nc equivalence and the sign problem at finite baryon density
• The CFT Distance Conjecture and Tensionless String Limits in $\mathcal{N}=2$ Quiver Gauge Theories
• Brane Resolution Through Fibration
• Strong-coupling results for $\mathcal{N}=2$ superconformal quivers and holography
• Exploring the twisted sector of ${\mathbb{Z}}_L$ orbifolds: Matching ${\alpha }^{\prime }$-corrections to localisation
• Universality of phase diagrams in QCD and QCD-like theories
• Baryon Masses and Wilson Loops for Fractional D3-Branes on the Resolved Conifold
• Topics in Supergravity Phenomenology
• Modified Pati-Salam Model from $Z_7$ orbifolded AdS/CFT
• Holographic Heavy Quark Symmetry
• $SU(3{)}^p$ Quiver Theories with $\mathcal{N}=0$ for $p=8$ and $9$
• Suppressing supersymmetric flavor violations through quenched gaugino-flavor interactions
• Getting N=1 super Yang-Mills from strings
• Embedding and partial resolution of complex cones over Fano threefolds
• Holographic backgrounds from D-brane probes
• A Remark on Non-conformal Non-supersymmetric Theories with Vanishing Vacuum Energy Density
• Kaon Decays from AdS/QCD