From Threebranes to Large N Gauge Theories

Abstract

This is a brief introductory review of the AdS/CFT correspondence and of the ideas that led to its formulation. Emphasis is placed on dualities between conformal large $N$ gauge theories in 4 dimensions and string backgrounds of the form $Ad{S}_5\times X_5$. Attempts to generalize this correspondence to asymptotically free theories are also included.

arXiv comment20 pages, LaTeX; Based on the talk at Orbis Scientiae '98, Ft. Lauderdale, FL, December 1998; v2: minor corrections

References in corpus (9)

• Dirichlet-Branes and Ramond-Ramond Charges
• M Theory As A Matrix Model: A Conjecture
• Type IIB superstring action in AdS_5 x S^5 background
• D-brane Approach to Black Hole Quantum Mechanics
• Entropy and Temperature of Black 3-Branes
• Black Hole Greybody Factors and D-Brane Spectroscopy
• Counting States of Near-Extremal Black Holes
• Vacuum interpolation in supergravity via super p-branes
• String Theory and Classical Absorption by Threebranes

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• Gravity Duals of Supersymmetric SU(N) x SU(N+M) Gauge Theories
• Effective potential in non-supersymmetric SU(N) x SU(N) gauge theory and interactions of type 0 D3-branes
• TASI 2003 Lectures on AdS/CFT
• Small x physics and RHIC data
• M-Theory and Stringy Corrections to Anti-de Sitter Black Holes and Conformal Field Theories
• String Corrections to the Hawking-Page Phase Transition
• Fundamental vs. Solitonic Description of D3 branes
• On Field/String Theory Approach to Theta Dependence in Large N Yang-Mills Theory
• Duality in Topological Quantum Field Theories
• Vector Bosons in the Randall-Sundrum 2 and Lykken-Randall models and unparticles
• Rudiments of Holography
• On the Holographic RG-flow and the Low-energy, Strong Coupling, Large N Limit
• Of McKay Correspondence, Non-linear Sigma-model and Conformal Field Theory