Spiky Strings on I-brane

TL;DR

This paper investigates rigidly rotating strings in the I-brane background, solving equations of motion with NS-NS fluxes, and identifies special solutions resembling giant magnons and single spikes.

Contribution

It provides new solutions for rotating strings in the I-brane geometry, including limiting cases of giant magnons and single spikes, expanding understanding of string dynamics in this background.

Findings

Derived conserved quantities for strings in I-brane background

Identified giant magnon and single spike solutions

Analyzed parameter space for different string configurations

Abstract

We study rigidly rotating strings in the near horizon geometry of the 1+1 dimensional intersection of two orthogonal stacks of NS5-branes, the so called I-brane background. We solve the equations of motion of the fundamental string action in the presence of two form NS-NS fluxes that the I-brane background supports and write down general form of conserved quantities. We further find out two limiting cases corresponding to giant magnon and single spike like strings in various parameter space of solutions.