Semiclassical quantization of the mixed-flux AdS$_3$ giant magnon

TL;DR

This paper derives explicit fluctuation formulas for the mixed-flux AdS3 giant magnon and confirms that semiclassical quantization yields zero one-loop energy correction, supporting symmetry expectations.

Contribution

It provides explicit formulas for bosonic and fermionic fluctuations around the mixed-flux giant magnon and verifies the expected vanishing one-loop correction.

Findings

Explicit fluctuation formulas for bosonic and fermionic modes

Confirmation of zero one-loop correction to magnon energy

Supports symmetry-based predictions in string theory

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 AdS$_3 \times$S$^3 \times$T$^4$ and AdS$_3 \times$S$^3 \times$S$^3 \times$S$^1$. 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.