Plane Wave Type II$^*$ String Backgrounds

TL;DR

This paper explores plane-wave limits of type II* superstring solutions, introducing de Sitter plane-waves and demonstrating their relation to maximally supersymmetric Hpp-waves via Hull's T-duality.

Contribution

It presents a new class of plane-wave solutions called de Sitter plane-waves and establishes their duality connection to Hpp-waves through time-like T-duality.

Findings

Introduction of de Sitter plane-waves (Dpp-waves).

Mapping of Dpp-waves to Hpp-waves via Hull's T-duality.

Extension of plane-wave solution space in type II* theories.

Abstract

In this note we aim to study plane-wave limits of the solutions of type II$^*$ superstring theories. We consider Freund-Rubin type $dS_5\times H^5$ solutions of type IIB$^*$ theory and obtain a new kind of plane-wave solutions, we refer them as de Sitter plane-waves or Dpp-waves. Considering Hull's time-like T-duality we are able to map the Dpp wave solution to maximally supersymmetric Hpp-wave in IIB string theory and vice-versa.