Semiclassical quantization of the mixed-flux AdS${}_3$ 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 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.

arXiv comment38 pages; minor changes and references added to introduction and conclusions

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Cited by in corpus (1)

• Quantum Spectral Curve for AdS${}_3$/CFT${}_2$: a proposal