Gauge Theories as String Theories: the First Results

Abstract

The brief review of the duality between gauge theories and closed strings propagating in the curved space is based on the lectures given at ITEP Winter School - 2005

Latex, 35 pages, Lectures given at ITEP Winter School, March 2005

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• Large N Field Theories, String Theory and Gravity
• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Dirichlet-Branes and Ramond-Ramond Charges
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Wilson loops in large N field theories
• The Bethe-Ansatz for N=4 Super Yang-Mills
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• Hard Scattering and Gauge/String Duality
• Towards the large N limit of pure N=1 super Yang Mills
• The N=4 SYM Integrable Super Spin Chain
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Semiclassical quantization of rotating superstring in AdS_5 x S^5
• Dimensional Reduction in Quantum Gravity
• Wilson Loops in N=4 Supersymmetric Yang--Mills Theory
• Bethe Ansatz for Quantum Strings
• Towards a holographic dual of large-N_c QCD
• The Complete One-Loop Dilatation Operator of N=4 Super Yang-Mills Theory
• Three-loop universal anomalous dimension of the Wilson operators in N=4 SUSY Yang-Mills model
• Moduli Stabilization from Fluxes in a Simple IIB Orientifold
• Multi-spin string solutions in AdS_5 x S^5
• Anti De Sitter Space And Holography
• Spin chains and string theory
• Structure functions for large $x$ and renormalization of Wilson loops
• Coupling constant dependence of the shear viscosity in N=4 supersymmetric Yang-Mills theory
• Stringing Spins and Spinning Strings
• Spinning strings in AdS_5 x S^5 and integrable systems
• Spinning strings in AdS_5 x S^5: new integrable system relations
• Quantum Foam and Topological Strings
• Rotating string solutions: AdS/CFT duality in non-supersymmetric sectors
• Baryon Distribution Amplitudes in QCD
• Quantizing String Theory in AdS_5 X S^5: Beyond the pp-Wave
• Large spin limit of AdS_5 x S^5 string theory and low energy expansion of ferromagnetic spin chains
• Integrability of three-particle evolution equations in QCD
• Matching Higher Conserved Charges for Strings and Spins
• Anomalous dimensions of Wilson operators in N=4 SYM theory
• Gauge/string duality for QCD conformal operators
• Operators with large R charge in N=4 Yang-Mills theory
• N=2 Gauge theories on systems of fractional D3/D7 branes
• Integrability in QCD and beyond
• Semiclassical relativistic strings in S^5 and long coherent operators in N=4 SYM theory
• Renormalization of twist-three operators and integrable lattice models
• Asymptotic degeneracy of dyonic N=4 string states and black hole entropy
• Large spin limits of AdS/CFT and generalized Landau-Lifshitz equations
• From Free Fields to $AdS$
• The SU(3) spin chain sigma model and string theory
• Flavoring the gravity dual of N=1 Yang-Mills with probes
• The Plane-Wave/Super Yang-Mills Duality
• Some Speculations about Black Hole Entropy in String Theory
• Fine structure of spectrum of twist-three operators in QCD
• Integrability and WKB solution of twist-three evolution equations
• On Noncommutative Open String Theories
• Evolution equations for quark-gluon distributions in multi-color QCD and open spin chains
• Higher Impurity AdS/CFT Correspondence in the Near-BMN Limit
• Superconformal operators in N=4 super-Yang-Mills theory
• Light-Cone Wilson Loops and the String/Gauge Correspondence
• Wilson loops in SYM theory: from weak to strong coupling
• New Integrable Structures in Large-N QCD
• Quantum integrability in (super) Yang-Mills theory on the light-cone
• Master Integrals For Massless Two-Loop Vertex Diagrams With Three Offshell Legs
• Seiberg-Witten prepotential from instanton counting
• Two-loop self-dual Euler-Heisenberg Lagrangians (I): Real part and helicity amplitudes
• A precise determination of the charm quark's mass in quenched QCD
• Supersymmetry of Tensionless Rotating Strings in AdS_5 x S^5, and Nearly-BPS Operators
• Evolution equation for the structure function g_2(x,Q^2)
• Reggeon exchange from AdS/CFT
• Lattice measurement of the couplings g_infinity and g_Bstar_B_pi
• Witten-Veneziano from Green-Schwarz
• Novel Approach to Super Yang-Mills Theory on Lattice - Exact fermionic symmetry and "Ichimatsu" pattern -
• Evolution of twist-three parton distributions in QCD beyond the large N_c limit
• Semiclassical circular strings in AdS_5 and "long" gauge field strength operators
• Integrable structures and duality in high-energy QCD
• N=2 Super Yang-Mills and the XXZ spin chain
• Gluon contribution to the structure function g_2(x,Q^2)
• High Energy QCD: Stringy Picture from Hidden Integrability
• On the Couplings of the Rho Meson in AdS/QCD
• The Entropy of the Microwave Background and the Acceleration of the Universe

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• QCD Vacuum Properties in a Magnetic Field from AdS/CFT: Chiral Condensate and Goldstone Mass
• On two-point correlation functions in AdS/QCD
• Heisenberg Honeycombs Solve Veneziano Puzzle
• Vacuum structure in 3d supersymmetric gauge theories
• Crystal chemistry criteria of the existence of spin liquids on the kagome lattice