M(atrix)-Theory Scattering in the Noncommutative (2,0) theory

TL;DR

This paper investigates quantum mechanics on a hyper-Kahler manifold related to M(atrix)-theory, specifically focusing on scattering in a noncommutative deformation of a 5+1D tensor multiplet with light-like momentum.

Contribution

It provides a detailed analysis of scattering processes in the noncommutative (2,0) theory using M(atrix)-theory frameworks, connecting geometric and quantum mechanical aspects.

Findings

Quantum mechanics on the blow-up of an A1-singularity is characterized.

Scattering in the noncommutative (2,0) theory is modeled and analyzed.

Results support the conjecture relating M(atrix)-theory to noncommutative tensor multiplet dynamics.

Abstract

We study the Quantum-Mechanics on the hyper-Kahler manifold that is the blow-up of an $A_1$-singularity. This system is relevant for M(atrix)-theory as it was conjectured to describe scattering in the "noncommutative" deformation of a free 5+1D tensor multiplet in the sector with two units of longitudinal light-like momentum.