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

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.

1+19 pages, No figure, JHEP style; a reference added, to appear in JHEP

References in corpus (11)

• Protected Multiplets of M-Theory on a Plane Wave
• Supermembrane on the PP-wave Background
• Superalgebra for M-theory on a pp-wave
• On the Spectrum of PP-Wave Matrix Theory
• Type IIA String and Matrix String on PP-wave
• Branes from Matrix Theory in PP-Wave Background
• N=(4,4) Type IIA String Theory on PP-Wave Background
• Supersymmetric objects in the M-theory on a pp-wave
• Membranes and Matrix Models
• Deformed Matrix Theories with N=8 and Fivebranes in the PP Wave Background
• Nonspherical Giant Gravitons and Matrix Theory

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• One-Loop Flatness of Membrane Fuzzy Sphere Interaction in Plane-Wave Matrix Model
• Spectrum of Eleven-dimensional Supergravity on a PP-wave Background
• 3D N=2 massive super Yang-Mills and membranes/D2-branes in a curved background
• Membrane Fuzzy Sphere Dynamics in Plane-Wave Matrix Model
• Nonlocal Effects on D-branes in Plane-Wave Backgrounds
• Dirichlet Branes of the Covariant Open Supermembrane on a PP-wave Background
• Superconformal Yang-Mills quantum mechanics and Calogero model with OSp(N|2,R) symmetry
• On the gauge invariance and coordinate transformations of non-Abelian D-brane actions
• Type IIA Supergravity Excitations in Plane-Wave Background
• AdS and pp-wave D-particle superalgebras
• Noncritical osp(1|2,R) M-theory matrix model with an arbitrary time dependent cosmological constant