Non-commutative holography and scattering amplitudes in a large magnetic background

TL;DR

This paper explores the holographic duality of non-commutative gauge theories, revealing how gluon scattering amplitudes relate to Wilson loops in a large magnetic background, with implications for understanding gauge/gravity correspondence.

Contribution

It establishes a detailed map between non-commutative gauge theory observables and their holographic duals, especially under large magnetic backgrounds.

Findings

Map between gauge theory observables and holographic duals near the boundary

Gluon scattering amplitudes reduce to Wilson loop expectation values in large magnetic background

Amplitude expressions include a polarization-dependent factor

Abstract

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.