Semiclassical quantization of the mixed-flux AdS3 giant magnon

We obtain explicit formulas for the eight bosonic and eight fermionic fluctuations around the mixed-flux generalization of the Hofman-Maldacena giant magnon on AdS(3)xS(3)xT(4)and AdS(3)xS(3)xS(3)xS(1). 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.