Integrability and Wilson Loop in ABJM theory

by Gabriele Martelloni (Pisa University)

Thursday 17 Oct 2013, 15:00 → 16:00 Europe/Rome

248 (Building C, First Floor)

In the last years the study of the conjecture AdS/CFT, example of duality between a string theory and a supersymmetric gauge theory, opens the possibility to extend the world of integra- bility for interacting theories to D greater than 2. In particular Super-Yang-Mills N=4 (SYM) in 4-D and Super-Chern-Simons N=6 (ABJM) in 3-D seem to be integrable in the planar limit. While in the four dimensional case we have almost a complete knowledge of the spectrum, in ABJM the expression, at all order of the coupling constant, of an important interpolating func- tion h(λ) is still missing. This function appears in the magnon dispersion relation and it is fundamental to calculate the anomalous dimension of the operators of the theory. I show a possible pattern to calculate h(λ) using the expectation value of Wilson Loops with tools as perturbative quantum field theory, localization and thermodynamic Bethe Ansatz (TBA).