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

Seungjoon Hyun1 and Jeong-Hyuck Park1,2

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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 Kähler-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 ``Script N = 1/2" theory.


Keywords

M(atrix) Theories

Brane Dynamics in Gauge Theories

Supersymmetric Effective Theories

 

E-print Number: hep-th/0209219

Cited: by |

Refers: to

PACS

11.15.-q Gauge field theories

11.25.Yb M theory

11.10.Kk Field theories in dimensions other than four

11.10.Nx Noncommutative field theory

11.30.Pb Supersymmetry

Subjects

Particle physics and field theory

Dates

Issue 11 (November 2002)

Received 7 October 2002, accepted for publication 1 November 2002

Published 20 November 2002



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