Type IIA String and Matrix String on PP-wave

TL;DR

The paper investigates Type IIA string theory on pp-wave backgrounds with 24 preserved supercharges, obtained from the 11D KG pp-wave via toroidal compactification. It derives the Type IIA string action from both supergravity (KK reduction) and the double dimensional reduction of the 11D supermembrane, demonstrating their equivalence and detailing the resulting mass terms and RR fluxes. It also formulates a matrix string theory on the pp-wave and analyzes the quantization of closed and open strings, including D-brane configurations and their Dirichlet/Neumann structure. The work highlights how flux-induced masses and twisted gauge dynamics arise in this setting and discusses extensions to other compactifications and less-supersymmetric backgrounds, with potential links to string-bit interpretations.

Abstract

We study type IIA string theories on the pp-waves with 24 supercharges. The type IIA pp-wave backgrounds are derived from the maximally supersymmetric pp-wave solution in eleven dimensions through the toroidal compactification on the spatial isometry directions. The associated actions of type IIA strings are obtained by using these metrics and other background fields of the type IIA supergravities on the one hand. On the other hand, we derive these theories from D=11 supermembrane on the pp-wave via double dimensional reduction for the spatial isometry directions. The resulting actions agree with those of type IIA strings obtained in the study of the supergravities. Also, the action of the matrix string is written down. Moreover, the quantization of closed and open strings is discussed. In particular, we study Dp-branes allowed in one of the type IIA theories.