Large-Spin Expansions of Giant Magnons

TL;DR

This paper explores giant magnons within the AdS5/CFT4 framework, providing a new analytic dispersion relation for finite-size magnons using Lambert's W-function, advancing understanding of their properties.

Contribution

It introduces a novel analytic expression for the dispersion relation of finite-size giant magnons involving Lambert's W-function.

Findings

Derived a new dispersion relation for finite-size giant magnons

Connected giant magnons to N=4 super Yang-Mills magnon excitations

Enhanced analytical tools for studying AdS/CFT integrability

Abstract

This is a talk delivered at the Workshop on Quantum Fields and Strings of the 2014 Corfu Summer Institute. We discuss how giant magnons emerge in the context of the AdS5/CFT4 correspondence as the gravity duals of N = 4 super Yang-Mills magnon excitations. Then we present a new analytic expression for the dispersion relation of classical finite-size giant magnons with Lambert's W-function.