A Note on T-duality of Strings in Plane-Wave Backgrounds

TL;DR

This paper demonstrates T-duality symmetry in bosonic string spectra within maximally supersymmetric IIB plane-wave backgrounds compactified on S^1 and T^2, revealing a stabilized half Narain lattice.

Contribution

It provides a direct computation of T-duality in plane-wave backgrounds and shows the stabilization of a half Narain lattice by the T-duality group.

Findings

T-duality holds in the studied backgrounds.

Only half of the zero modes contribute to the Hamiltonian.

The half Narain lattice is stabilized by T-duality.

Abstract

We show, by direct computations of bosonic string spectra, the O(d,d;Z) (d=1,2) T-duality in the maximally supersymmetric IIB plane-wave background compactified on S^1 and T^2. Only half of the ordinary set of zero modes appear in the Hamiltonian. This "half" Narain lattice is proved to be stabilized by the T-duality group.