5D action for longitudinal five branes on a pp-wave

TL;DR

This paper derives a five-dimensional super Yang-Mills action with specific terms as a low-energy worldvolume description of longitudinal five branes in a maximally supersymmetric pp-wave, connecting M-theory matrix models to gauge theories.

Contribution

It presents the first derivation of a 5D super Yang-Mills action with Kahler-Chern-Simons and Myers terms from M-theory matrix models for branes in a pp-wave background.

Findings

Derived a 5D super Yang-Mills action from M-theory matrix model.

Identified a novel 5D 'N=1/2' supersymmetric theory in the commutative limit.

Connected non-commutative gauge theories with brane configurations in pp-wave backgrounds.

Abstract

String modes in a pp-wave background are generically massive, and the worldvolume description of the branes is to be given by `massive' gauge theories. In this paper, we present a five dimensional super Yang-Mills action with the Kahler-Chern-Simons term plus the Myers term as a low energy worldvolume description of the longitudinal five branes in a maximally supersymmetric pp-wave background. We derive the action from the M-theory matrix model on the pp-wave. We utilize the previously found 4/32 BPS solution of rotating five branes with stacks of membranes, but, to obtain the static configuration, we reformulate the matrix model in a rotating coordinate system which provides the inertial frame for the branes. Expanding the matrix model around the solution, we first obtain a non-commutative field theory action naturally equipped with the full sixteen dynamical supersymmetries. In the commutative limit, we show only four supersymmetries survive, resulting in a novel five dimensional "N=1/2" theory.