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between SU ( N ) field theories defined in d dimensions with Type IIB string theory on d + 1 dimensional anti de-Sitter ( AdS ) space and a 9 − d dimen- sional compact manifold [312]. The promise of the conjecture comes from the two different analytically tractable limits of the duals: field theories for small λ = g 2 $_{Y M}$N ≪ 1; classical supergravity for λ ≫ 1 and N ≫ 1. In this way strongly coupled string theory problems are approachable via weakly coupled perturbative field theoretic techniques. More important for heavy ion physics, strongly coupled field theory calculations, previously only analyzable through equilibrium Euclidean numerics on the lattice, are now analytically solvable 

