Semiclassical four-point functions in AdS 5 × S 5

Worldsheet Scattering in AdS 5 × S 5

We calculate the S-matrix in the gauge-fixed sigma-model on AdS 5 × S 5 to the leading order in perturbation theory, and analyze how supersymmetry is realized on the scattering states. A mild nonlocality of the supercharges implies that their action on multi-particle states does not follow the Leibniz rule, which is replaced by a nontrivial coproduct. The plane wave symmetry algebra is thus nat...

Semiclassical Strings on AdS 5 × S 5 / Z M and Operators in Orbifold Field Theories

We show agreements, at one-loop level of field theory, between energies of semiclassical string states on AdS 5 ×S 5 /Z M and anomalous dimensions of operators in N = 0, 1, 2 orbifold field theories originating from N = 4 SYM. On field theory side, one-loop anomalous dimension matrices can be regarded as Hamiltonians of spin chains with twisted boundary conditions. These are solvable by Bethe a...

On AdS 5 × S 5 String S - matrix

Recently two interesting conjectures about the string S-matrix on AdS 5 × S 5 have been made. First, assuming the existence of a Hopf algebra symmetry Janik derived a functional equation for the dressing factor of the quantum string Bethe ansatz. Second, Hernández and López proposed an explicit form of 1/ √ λ correction to the dressing factor. In this note we show that in the strong coupling ex...

A Mysterious Zero in AdS 5 × S 5 Supergravity

Tunneling between the giant gravitons in AdS 5 × S 5

I consider the giant gravitons in AdS5×S. By numerical simulation, I show a strong indication that there is no instanton solution describing the direct tunneling between the giant graviton in the S and its dual counterpart in the AdS5. I argue that it supports the supersymmetry breaking scenario suggested in ref. [1] PACS numbers: 11.25.-w, 11.15.Kc, 11.30.Pb Typeset using REVTEX ∗[email protected]...