Solvable N=(4,4) Type IIA String Theory in Plane-Wave Background and D-Branes

Physics – High Energy Physics – High Energy Physics - Theory

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latex2e, 23 pages, v2: typos corrected, one reference added, v3: final version to appear in Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(03)00086-5

We study various aspects of N=(4,4) type IIA GS superstring theory in the pp-wave background, which arises as the compactification of maximally supersymmetric eleven-dimensional pp-wave geometry along the spacelike isometry direction. We show the supersymmetry algebra of N=(4,4) worldsheet supersymmetry as well as non-linearly realized supersymmetry. We also give quantization of closed string and open string incorporating various boundary conditions. From the open string boundary conditions, we find configurations of D-branes which preserve half the supersymmetries. Among these we identify D4 brane configurations with longitudinal five brane configurations in matrix model on the eleven-dimensional pp-wave geometry.

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