Non-commutative holography and scattering amplitudes in a large magnetic background
Abstract
Description
We study planar gluon scattering amplitudes and Wilson loops in non-commutative gauge theory. Our main results are:
1. We find the map between observables in non-commutative gauge theory and their holographic dual. In that map, the region near the boundary of the gravitational dual describes the physics in terms of T-dual variables.
2. We show that in the presence of a large magnetic background and a UV regulator, a planar gluon scattering amplitude reduces to a complex polygon Wilson loop expectation value, dressed by a tractable polarization dependent factor.
26 pages. v2: corrected section 4, reference added
26 pages. v2: corrected section 4, reference added