Exactly Solvable Model of Superstring in Plane-wave Background with Linear Null Dilaton

TL;DR

This paper presents an exactly solvable model of IIB superstring theory in a time-dependent plane-wave background with a linear null dilaton, revealing a symmetric spectrum and minimal string mode creation.

Contribution

It introduces a new exactly solvable superstring model in a time-dependent background with a linear null dilaton, expanding understanding of string dynamics in such backgrounds.

Findings

Model is exactly solvable with time-dependent masses.

Spectrum is symmetric between bosons and fermions.

String mode creation is very small.

Abstract

In this paper, we study an exactly solvable model of IIB superstring in a time-dependent plane-wave backgound with a constant self-dual Ramond-Ramond 5-form field strength and a linear dilaton in the light-like direction. This background keeps sixteen supersymmetries. In the light-cone gauge, the action is described by the two-dimensional free bosons and fermions with time-dependent masses. The model could be canonically quantized and its Hamiltonian is time-dependent with vanishing zero point energy. The spectrum of the excitations is symmetric between the bosonic and fermionic sector. The string mode creation turns out to be very small.