Giant Magnons of String Theory in the Lambda Background

Understand

The analogues of giant magnon configurations are studied on the string world sheet in the lambda background.

• This is a discrete deformation of the AdS(5)xS(5) background that preserves the integrability of the world sheet theory.
• Giant magnon solutions are generated using the dressing method and their dispersion relation is found.
• This reduces to the usual dyonic giant magnon dispersion relation in the appropriate limit and becomes relativistic in another limit where the lambda model becomes the generalized sine-Gordon theory of the Pohlmeyer reduction.