Pulsating strings in warped AdS_6 x S^4 geometry

TL;DR

This paper investigates pulsating string solutions in the warped $AdS_6 imes S^4$ background of massive type IIA superstring theory, comparing their properties and energy corrections to known results in similar geometries.

Contribution

It provides new pulsating string solutions in warped $AdS_6 imes S^4$, analyzing their energy corrections and differences from previous $AdS_5 imes S^5$ results.

Findings

Pulsating strings exhibit distinct energy corrections in warped $AdS_6 imes S^4$.

The solutions differ significantly from those in unwarped backgrounds.

Leading order energy corrections are computed and discussed.

Abstract

In this paper we consider pulsating strings in warped $AdS_6\times S^4$ background, which is a vacuum solution of massive type {\bf IIA} superstring. The case of rotating strings in this background was considered in hep-th/0402202 and it was found that the results significantly differs from those considered in $AdS_5\times S^5$. Motivated by this results we study pulsating strings in the warped spherical part of the type {\bf IIA} geometry and compare the results with those obtained in hep-th/0209047, hep-th/0310188 and hep-th/0404012. We conclude with comments on our solutions and the obtained corrections to the energy, expanded to the leading order in lambda.