Gauge-String Dualities and Some Applications

Abstract

The first part of these lectures contains an introductory review of the AdS/CFT duality and of its tests. Applications to thermal gauge theory are also discussed briefly. The second part is devoted to a review of gauge-string dualities based on various warped conifold backgrounds, and to their cosmological applications.

44 pages. Lectures delivered by I.R.K. at the Les Houches 2007 summer school ``String Theory and the Real World''

References in corpus (90)

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• 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
• Hierarchies from Fluxes in String Compactifications
• Wilson loops in large N field theories
• Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• The Bethe-Ansatz for N=4 Super Yang-Mills
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• AdS/CFT Correspondence and Symmetry Breaking
• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• Towards Inflation in String Theory
• Linear Confinement and AdS/QCD
• New Forms of QCD Matter Discovered at RHIC
• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
• Transcendentality and Crossing
• Exact Results on the Space of Vacua of Four Dimensional SUSY Gauge Theories
• The N=4 SYM Integrable Super Spin Chain
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• 4d Conformal Field Theories and Strings on Orbifolds
• What RHIC Experiments and Theory tell us about Properties of Quark-Gluon Plasma ?
• The Effect of Shear Viscosity on Spectra, Elliptic Flow, and HBT Radii
• Semiclassical quantization of rotating superstring in AdS_5 x S^5
• Gravity Duals of Supersymmetric SU(N) x SU(N+M) Gauge Theories
• Bethe Ansatz for Quantum Strings
• Viscosity Bound Violation in Higher Derivative Gravity
• Entropy and Temperature of Black 3-Branes
• Cosmic F- and D-strings
• On Conformal Theories in Four Dimensions
• Giant Magnons
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• A calculation of the bulk viscosity in SU(3) gluodynamics
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• Structure functions for large $x$ and renormalization of Wilson loops
• Coupling constant dependence of the shear viscosity in N=4 supersymmetric Yang-Mills theory
• Quark confinement and the bosonic string
• Gauge invariant MSSM inflaton
• Scales and hierarchies in warped compactifications and brane worlds
• String Theory and Classical Absorption by Threebranes
• Perfect Fluidity of the Quark Gluon Plasma Core as Seen through its Dissipative Hadronic Corona
• On D3-brane Potentials in Compactifications with Fluxes and Wrapped D-branes
• Non-Abelian BPS Monopoles in N=4 Gauged Supergravity
• MSSM flat direction inflation: slow roll, stability, fine tunning and reheating
• Quantum corrections to the string Bethe ansatz
• Baryons and Domain Walls in an N = 1 Superconformal Gauge Theory
• New Type IIB Vacua and their F-Theory Interpretation
• A Delicate Universe
• Cusp anomalous dimension in maximally supersymmetric Yang-Mills theory at strong coupling
• Spectrum of Type IIB Supergravity on AdS_5 x T^{11}: Predictions on N = 1 SCFT's
• Complex geometry of conifolds and 5-brane wrapped on 2-sphere
• Logarithmic scaling in gauge/string correspondence
• A Test of the AdS/CFT Correspondence Using High-Spin Operators
• Integrability in QCD and beyond
• On the Moduli Space of the Cascading SU(M+p)xSU(p) Gauge Theory
• Two-loop world-sheet corrections in AdS_5 x S^5 superstring
• Non-Abelian Solitons in N=4 Gauged Supergravity and Leading Order String Theory
• Four-Loop Cusp Anomalous Dimension From Obstructions
• On the Strong Coupling Scaling Dimension of High Spin Operators
• Glueballs vs. Gluinoballs: Fluctuation Spectra in Non-AdS/Non-CFT
• Bulk Dynamics in Confining Gauge Theories
• On String Tensions in Supersymmetric SU(M) Gauge Theory
• Holographic renormalization of cascading gauge theories
• A note on the holographic interpretation of string theory backgrounds with varying flux
• Gauge/Gravity Duality and Warped Resolved Conifold
• Is there a "most perfect fluid" consistent with quantum field theory?
• A Universality Test of the Quantum String Bethe Ansatz
• Strong coupling limit of Bethe Ansatz equations
• The Ubiquitous Throat
• The pressure of the SU(N) lattice gauge theory at large-N
• Functional BES equation
• Brane Inflation : String Theory viewed from the Cosmos
• The (p,q) String Tension in a Warped Deformed Conifold
• A two point function in a cascading N=1 gauge theory from supergravity
• Lattice QCD at High Temperature and Density
• Introduction to Cosmic F- and D-Strings
• Variations on the Warped Deformed Conifold
• Long-range SL(2) Baxter equation in N=4 super-Yang-Mills theory
• Inflection Point Inflation and Time Dependent Potentials in String Theory
• Thermodynamics of Large-N Super Yang-Mills Theory and AdS/CFT Correspondence
• A note on supersymmetric Yang-Mills thermodynamics
• Short distance properties of cascading gauge theories
• Goldstone Bosons and Global Strings in a Warped Resolved Conifold
• Lattice QCD equation of state : improving the differential method
• Non-Spherical Horizons, I
• The birth of string theory
• The beginning of string theory: a historical sketch

Cited by in corpus (2)

• M2-branes and AdS/CFT
• Remark on the Baryonic Branch of the Warped Deformed Conifold