PP-Wave Strings from Membrane and from String in the Spacetime with Two Time Directions

TL;DR

This paper explores methods to derive strings in pp-wave backgrounds from membranes and strings in spacetimes with two time dimensions, analyzing their algebraic structures and Hamiltonians.

Contribution

It introduces novel approaches to obtain quantized pp-wave strings from membranes and two-time spacetimes, expanding understanding of string propagation in complex backgrounds.

Findings

Strings in pp-wave backgrounds derived from membranes.

Strings in two-time spacetimes can generate pp-wave strings.

Analysis of algebraic structures and Hamiltonians of these strings.

Abstract

In this paper we obtain strings that propagate in the quantized pp-wave backgrounds. We can obtain these strings from the solutions of membrane. The other way is the propagation of a massless string in a spacetime with two time dimensions. This string sweeps a worldvolume, which enables us to obtain other strings in the quantized pp-wave backgrounds in the spacetime with one time direction. The associated algebras and Hamiltonians of these massive strings will be studied.