Semiclassical quantization of the mixed-flux AdS3 giant magnon

Abstract

We obtain explicit formulas for the eight bosonic and eight fermionic fluctuations around the mixed-flux generalization of the Hofman-Maldacena giant magnon on AdS3×S3×T4 and AdS3×S3×S3×S1. As a check of our results, we confirm that the semiclassical quantization of these fluctuations leads to a vanishing one-loop correction to the magnon energy, as expected from symmetry based arguments.