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

TL;DR

This paper analyzes the N=(4,4) type IIA superstring theory in a plane-wave background, exploring supersymmetry, quantization, and D-brane configurations, including their relation to matrix models in eleven-dimensional supergravity.

Contribution

It provides a detailed study of supersymmetry algebra, string quantization, and D-brane configurations in the pp-wave background, revealing new relations to matrix models.

Findings

Supersymmetry algebra of N=(4,4) superstring in pp-wave background is established.

Quantization of open and closed strings with various boundary conditions is performed.

D4 brane configurations preserving half the supersymmetry are identified, linked to matrix models.

Abstract

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.