Theory HEP Seminar

Precision tests of AdS/CFT integrability from strings in the AdS light-cone gauge

Simone Giombi

Perimeter Institute

We discuss some recent perturbative calculations for quantum strings in AdS5 x S5 and their comparison to integrability based results in planar N=4 Super Yang-Mills. We use a certain AdS version of the light-cone gauge, which is shown to yield considerable simplifications compared to previous approaches. In particular, we present a detailed 2-loop analysis of the energy of a long folded spinning string in AdS with an angular momentum on S5, obtaining exact matching with the Bethe ansatz prediction on the gauge theory side. This resolves a previously appeared disagreement between string theory and Bethe ansatz, and provides non-trivial evidence for the quantum integrability of the AdS5 x S5 superstring. Finally, we also use the AdS light-cone approach to compute quantum corrections to the dispersion relations of excitations above the long spinning string in AdS, and compare to recent all-loop results obtained from the Bethe ansatz.