The three point function through separation of variables

  • Data: 14 dicembre 2015 dalle 15:00 alle 16:00

  • Luogo: Aula Teorici, via Irnerio, 46, Bologna

Contatto di riferimento:

Partecipanti: Prof. Ivan Kostov (Saclay CNRS, Paris - Francia)

Abstract: We derive an integral expression for the leading-order three-point functions in the SU(2)-sector of N=4 super Yang-Mills theory. We first map the problem to the partition function of the six vertex model with a hexagonal boundary. The advantage of the six-vertex model expression is that it reveals an extra symmetry of the problem. On the spin-chain side, this corresponds to the exchange of the quantum space and the auxiliary space and is reminiscent of the mirror transformation employed in the worldsheet S-matrix approaches. After the rotation, we apply Sklyanin's separation of variables (SoV) and obtain a multiple-integral expression of the three-point function.  Along the way we derive several new results about the SoV, such as the explicit construction of the basis with twisted boundary conditions and the overlap between the orginal SoV state and the SoV states on the subchains.