Pulsating strings in I-brane background

TL;DR

This paper investigates pulsating string solutions in NS5-brane and I-brane backgrounds, deriving energy relations and analyzing pulsation modes on different geometries using the Polyakov action.

Contribution

It provides new analytical solutions for pulsating strings in I-brane backgrounds and explores their energy-oscillation relationships.

Findings

Derived energy formulas for pulsating strings in I-brane backgrounds.

Analyzed pulsation modes on separate and combined spheres.

Studied limiting cases of string oscillations.

Abstract

We study pulsating strings both on a single stack of NS5-branes and two orthogonal stacks of NS5-branes (the so called I-brane) by using the Polyakov form of the fundamental string action. For the I-brane background, by using a symmetry that decouples the two spheres from the flat geometry, we study pulsating solutions of the string when it pulsates on both the spheres independently and simultaneously. We finally derive the energy of pulsating strings as a function of adiabatic invariant oscillation number in these cases and studied some limiting cases in detail.