Giant Magnon on Deformed AdS(3)xS(3)

TL;DR

This paper investigates giant magnon solutions in a deformed AdS(3)xS(3) background, deriving the dispersion relation and showing it reduces to the known Hofman-Maldacena form when deformation vanishes.

Contribution

It provides a detailed analysis of giant magnon solutions in a deformed background and derives the corresponding dispersion relation, extending previous results to include deformation effects.

Findings

Dispersion relation reduces to Hofman-Maldacena form as deformation parameter approaches zero.

Explicit expressions for conserved charge J and energy of magnon are obtained.

Analysis confirms the integrability structure persists under deformation.

Abstract

We study giant magnon solutions for strings moving on a deformed AdS(3)xS(3) background. We impose a conformal gauge on the Polyakov action and proceed with solving the Virasoro constraints. The expressions of the conserved charge J and the energy of a single magnon excitation are then computed. Then we determine the dispersion relation in the infinite J limit configuration and we find that it reduces to celebrated Hofman-Maldacena dispersion relation when the deformation parameter goes to zero.