Spinning strings and integrable spin chains in the AdSCFT co(9)

In this introductory review we discuss dynamical tests of the AdS_5 x S^5 string/N=4 super Yang-Mills duality. After a brief introduction to AdS/CFT we argue that semiclassical string energies yield information on the quantum spectrum of the string in the

where OAisthescalingdimensionofthecompositeoperatorOA.Classicallythesescalingdimensionsaresimplythesumoftheindividualdimensionsoftheconstituent elds([φi]=[Aµ]=1and[χ]=3/2).Inquantumtheorythescalingdimensions

2receiveanomalouscorrections,organizedinadoubleexpansioninλ=gYMN(loops)

and1/N2(genera)∞∞ 1λl = 0+

l=1g=0