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

Seungjoon Hyun·Jeong-Hyuck Park
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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.

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Seungjoon Hyun, Jeong-Hyuck Park. 2002-10-29. 5D action for longitudinal five branes on a pp-wave. https://doi.org/10.1088/1126-6708%2F2002%2F11%2F001

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