Generalized pulsating strings

TL;DR

This paper introduces new solutions for pulsating strings using a generalized ansatz, solving the Neumann-Rosochatius system, and calculating energy corrections that differ from previous approaches.

Contribution

It presents novel pulsating string solutions based on a generalized ansatz and provides new energy correction calculations within the integrable system framework.

Findings

New pulsating string solutions found

Energy corrections differ from previous results

Solutions expanded to leading order in lambda

Abstract

In this paper we consider new solutions for pulsating strings. For this purpose we use tha idea of the generalized ansatz for folded and circular strings in hep-th/0311004. We find the solutions to the resulting Neumann-Rosochatius integrable system and the corrections to the energy. To do that we use the approach developed by Minahan in hep-th/0209047 and find that the corrections are quite different from those obtained in that paper and hep-th/0310188. We conclude with comments on our solutions and obtained corrections to the energy, expanded to the leading order in lambda.