Spiky strings and giant magnons on S5

TL;DR

This paper extends the integrable Neumann-Rosochatius system to include spiky strings and giant magnons in S5, providing new solutions and their interpretation within the AdS/CFT correspondence.

Contribution

It demonstrates that spiky strings and giant magnons can be described by a modified NR-system in conformal gauge, including a detailed giant magnon solution with multiple angular momenta.

Findings

Giant magnon with two angular momenta described as superposition of two magnons.

Extended the NR-system to accommodate spiky strings and giant magnons.

Constructed Bethe ansatz wave function for bound states in SU(3) spin chain.

Abstract

Recently, classical solutions for strings moving in AdS5 x S5 have played an important role in understanding the AdS/CFT correspondence. A large set of them were shown to follow from an ansatz that reduces the solution of the string equations of motion to the study of a well-known integrable 1-d system known as the Neumann-Rosochatius (NR) system. However, other simple solutions such as spiky strings or giant magnons in S5 were not included in the NR ansatz. We show that, when considered in the conformal gauge, these solutions can be also accomodated by a version of the NR-system. This allows us to describe in detail a giant magnon solution with two additional angular momenta and show that it can be interpreted as a superposition of two magnons moving with the same speed. In addition, we consider the spin chain side and describe the corresponding state as that of two bound states in the infinite SU(3) spin chain. We construct the Bethe ansatz wave function for such bound state.