Quiver Gauge Theory and Conformality at the TeV Scale

Abstract

This review describes the conformality approach to extending the standard model of particle phenomenology using an assumption of no conformal anomaly at high energy. Topics include quiver gauge theory, the conformality approach to phenomenology, strong-electroweak unification at 4 TeV, cancellation of quadratic divergences, cancellation of U(1) anomalies, and a dark matter candidate.

175 pages latex. Changes suggested by Physics Reports reviewer. Bibliography extended to include colleagues' suggestions

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• TeV Scale Superstring and Extra Dimensions
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• Production of Kaluza-Klein States at Future Colliders
• Mirror Symmetry in Three-Dimensional Gauge Theories, Quivers and D-branes
• Quantum Quivers and Hall/Hole Halos
• Brane World
• Soft Masses in Theories with Supersymmetry Breaking by TeV-Compactification
• Large N limit of orbifold field theories
• Building the Standard Model on a D3-brane
• Simple Non-Abelian Finite Flavor Groups and Fermion Masses
• String Expansion as Large N Expansion of Gauge Theories
• From Sasaki-Einstein spaces to quivers via BPS geodesics: Lpqr
• New checks and subtleties for AdS/CFT and a-maximization
• D-branes at Singularities, Compactification, and Hypercharge
• The dual superconformal theory for Lpqr manifolds
• Large N Superconformal Gauge Theories and Supergravity Orientifolds
• Brane Configurations for Branes at Conifolds
• SUSY Quivers, Intersecting Branes and the Modest Hierarchy Problem
• Hitchin-Kobayashi correspondence, quivers, and vortices
• Supersymmetry breaking at the end of a cascade of Seiberg dualities
• Modular Invariance, Finiteness, and Misaligned Supersymmetry: New Constraints on the Numbers of Physical String States
• Counting Chiral Operators in Quiver Gauge Theories
• D_n Quivers From Branes
• Unification and Extra Space-Time Dimensions
• Strings from Quivers, Membranes from Moose
• Gauge Theories from Orientifolds and Large N Limit
• Instantons on Quivers and Orientifolds
• Quiver Theories from D6-branes via Mirror Symmetry
• BPS states and algebras from quivers
• D-branes, Exceptional Sheaves and Quivers on Calabi-Yau manifolds: From Mukai to McKay
• Superstring on PP-Wave Orbifold from Large-N Quiver Gauge Theory
• The Toric Phases of the Y^{p,q} Quivers
• A New Infinite Class of Quiver Gauge Theories
• Quiver theories, soliton spectra and Picard-Lefschetz transformations
• Counting BPS Baryonic Operators in CFTs with Sasaki-Einstein duals
• Unification with Low String Scale
• Closed String Tachyons, AdS/CFT, and Large N QCD
• Conformal Manifolds for the Conifold and other Toric Field Theories
• Family Unification, Exotic States and Magnetic Monopoles
• Gauge Theories at Resolved and Deformed Singularities using Dimers
• Index for Orbifold Quiver Gauge Theories
• The Origins of Lattice Gauge Theory
• From Toric Geometry to Quiver Gauge Theory: the Equivalence of a-maximization and Z-minimization
• Superpotentials for Quiver Gauge Theories
• Group-Theoretical Aspects of Orbifold and Conifold GUTs
• Three loop gauge beta-function for the most general single gauge-coupling theory
• Quiver Gauge Theory of Nonabelian Vortices and Noncommutative Instantons in Higher Dimensions
• The Minimal Quiver Standard Model
• The Runaway Quiver
• Classification of Conformality Models Based on Nonabelian Orbifolds
• Rank Two Quiver Gauge Theory, Graded Connections and Noncommutative Vortices
• Deformations of conformal theories and non-toric quiver gauge theories
• Gauge Unification in Nonminimal Models with Extra Dimensions
• Quark-Lepton Quartification
• Intersecting Orbifold Planes and Local Anomaly Cancellation in M-Theory
• N=1/2 quiver gauge theories from open strings with R-R fluxes
• On Large N Gauge Theories from Orientifolds
• Conformality from Field-String Duality on Abelian Orbifolds
• RG Cascades in Hyperbolic Quiver Gauge Theories
• Orientiworld
• Towards Supergravity Duals of Chiral Symmetry Breaking in Sasaki-Einstein Cascading Quiver Theories
• Family Unification, Exotic States and Light Magnetic Monopoles
• Branes at Orbifolded Conifold Singularities and Supersymmetric Gauge Field Theories
• Unification with Enlarged Kaluza-Klein Dimensions
• ADS/CFT String Duality and Conformal Gauge Field Theories
• Conformality and Gauge Coupling Unification
• New results on superconformal quivers
• Local Anomaly Cancellation, M-Theory Orbifolds and Phase-Transitions
• Conformal N=0 d=4 Gauge Theories from AdS/CFT Superstring Duality?
• Soliton Solutions of M-theory on an Orbifold
• Strong-Electroweak Unification at About 4 TeV
• The complex geometry of holographic flows of quiver gauge theories
• D-branes on Singularities: New Quivers from Old
• Three-Family SU(5) Grand Unification in String Theory
• Discrete Torsion, Covering Groups and Quiver Diagrams
• Anomaly Free Non-Supersymmetric Large $N$ Gauge Theories from Orientifolds
• Chiral Fermions and AdS/CFT Duality for a Nonabelian Orbifold
• Finite Heisenberg Groups in Quiver Gauge Theories
• Conformal Brane World and Cosmological Constant
• Flavor ``Conservation'' and Hierarchy in TeV-scale Supersymmetric Standard Model
• Topological B-Model, Matrix Models, $\hat{c}=1$ Strings and Quiver Gauge Theories
• Seiberg duality as derived equivalence for some quiver gauge theories
• Higher order loop equations for A_r and D_r quiver matrix models
• Explicit Analysis of Kahler Deformations in 4D N=1 Supersymmetric Quiver Theories
• BPS Partition Functions for Quiver Gauge Theories: Counting Fermionic Operators
• Global Analysis of a Supersymmetric Pati-Salam Model
• Phases and geometry of the N=1 A_2 quiver gauge theory and matrix models
• Large N Gauge Theories from Orientifolds with NS-NS B-flux
• An M-Theory Perspective on Heterotic K3 Orbifold Compactifications
• New Example of Infinite Family of Quiver Gauge Theories
• Unification via intermediate symmetry breaking scales with the quartification gauge group
• N=(0,4) Quiver $SCF{T}_2$ and Supergravity on $Ad{S}_3\times S^2$
• Stability of Quiver Representations and Topology Change
• Exotic Fermions and Bosons in the Quartification Model
• Three Family N=1 SUSY Models from Z_n Orbifolded AdS/CFT
• Neutrino masses in quartification schemes
• Solving Flavor Puzzles with Quiver Gauge Theories
• G_2 Quivers
• Custodial supersymmetry in non-supersymmetric quiver theories
• Quartification On An Orbifold
• Finite Heisenbeg Groups and Seiberg Dualities in Quiver Gauge Theories
• Comments on Quiver Gauge Theories and Matrix Models
• Chiral Rings of Deconstructive [SU(n_c)]^N Quivers
• Prediction of ${\sin }^2{\theta }_W$ in a Conformal Approach to Coupling Unification
• Central Extensions of Finite Heisenberg Groups in Cascading Quiver Gauge Theories
• Non-Critical String Duals of N=1 Quiver Theories
• Undoing Orbifold Quivers
• World-sheet Instantons via the Myers Effect and N=1^* Quiver Superpotentials
• Quiver Matrix Mechanics for IIB String Theory (I): Wrapping Membranes and Emergent Dimension
• On the fate of tachyonic quivers
• Classification of SUSY and non-SUSY Chiral Models from Abelian Orbifolds AdS/CFT
• Robustness and Predictivity of 4 TeV Unification
• Quivers via anomaly chains
• Leptonic color models from Z_8 orbifolded AdS/CFT
• Anomaly Cancellation and Conformality in Quiver Gauge Theories
• The Phase Structure of Mass-Deformed SU(2)xSU(2) Quiver Theory
• Candidates for Inflaton in Quiver Gauge Theory
• Minimal Pati-Salam Model from String Theory Unification
• Consistency Conditions for AdS/CFT Embeddings
• Quiver Mechanics for Deconstructed Matrix String
• On ADE Quiver Models and F-Theory Compactification
• MSSM from Ads/CFT
• Dark Matter Candidate from Conformality
• Quiver Matrix Mechanics for IIB String Theory (II): Generic Dual Tori, Fractional Matrix Membrane and $SL(2,\integer)$ Duality
• Proton Decay Constraints on Low Scale AdS/CFT Unification
• Finite N AdS/CFT Correspondence for Abelian and Nonabelian Orbifolds, and Gauge Coupling Unification
• Proton Decay in Teravolt Unification
• ADE-Quiver Theories and Mirror Symmetry
• Growth of a susy bubble: inhomogeneity effects
• Twisted Sectors and Chern-Simons Terms in M-Theory Orbifolds
• E8 Quiver Gauge Theory and Mirror Symmetry
• Recursive relations for a quiver gauge theory
• Suggestion of Explicit Field Transformations underlying Misaligned Supersymmetry
• Fractional Strings in (p,q) 5-brane and Quiver Matrix String Theory
• Extracting Flavor from Quiver Gauge Theories

Cited by in corpus (11)

• Large N Field Theory and AdS Tachyons
• A Note on Embedding Nonabelian Finite Flavor Groups in Continuous Groups
• Leptonic color models from Z_8 orbifolded AdS/CFT
• Conformal Completion of the Standard Model with a Fourth Generation
• Stabilizing the Runaway Quiver in Supergravity
• Prediction for $\Gamma (H\to {\tau }^{+}{\tau }^{-})/\Gamma (H\to {\mu }^{+}{\mu }^{-})$ from Non-Abelian Flavor Symmetry
• A Survey of Family Unification Models with Bifundamental Matter
• $SU(3{)}^p$ Quiver Theories with $\mathcal{N}=0$ for $p=8$ and $9$
• Quiver Approach to Massive Gauge Bosons Beyond the Standard Model
• Modified Pati-Salam Model from $Z_7$ orbifolded AdS/CFT
• Particle phenomenology and Maldacena