Talks

We study the dimensions of non-chiral operators in the Veneziano limit of N=1 supersymmetric QCD in the conformal window. We show that when acting on gauge-invariant operators built out of scalars, the 1-loop dilatation operator is equivalent to the spin chain Hamiltonian of the 1D Ising model in a transverse magnetic field, which is a nontrivial integrable system that is exactly solvable at finite length. Solutions with periodic boundary conditions give the anomalous dimensions of flavor-singlet operators and solutions with fixed boundary conditions give the anomalous dimensions of operators whose ends contain open flavor indices.

The motion of superstrings on symmetric space target spaces is classically equivalent, via the Pohlmeyer reduction, to a family of 2-d relativistic integrable field theories known as semisymmetric space sine-Gordon (SSSSG) theories. In this talk I will review recent progress in constructing the relativistic S-matrix corresponding to the quantum solution of the AdS5 x S5 SSSSG theory.