Notes on BPS Wilson Loops and the Cusp Anomalous Dimension in ABJM theory

OKC/Nordita High-Energy Physics Theory seminar

Monday 24 February 2014
from 11:00
to 12:30 at
132:028

Speaker :

Daniele Marmiroli (UNUSUAL TIME) (Nordita)

Abstract :

We introduce a new purely bosonic, 6 BPS Wilson loop for ABJM theory on S 3
that couples scalar fields to a latitude at an angle θ on S 2 ∈ CP 3 . Through localization of this
operator, we relate the expansion of the cusp anomalous dimension at small cusp angles to
the logarithmic derivative of the ABJM Wilson loop. This defines, non-perturbatively in the
’t Hooft coupling, the bremsstrahlung function B(λ) describing in three dimensions the soft
radiation of a W -boson undergoing a sudden change in trajectory. We compare our results
for B(λ) to the known weak/strong coupling expansions of the function h(λ) that enters
integrability.