Fermion zero modes for the mixed-flux AdS3 giant magnon

Abstract

Abstract We explicitly construct the four and two fermion zero modes for the mixed-flux generalization of the Hofman-Maldacena giant magnon on two of the AdS3 backgrounds with maximal amount of supersymmetry, AdS3×S3×T4 and AdS3×S3×S3×S1. We also show how to get the p s u 1 | 1 4 $$ \mathfrak{p}\mathfrak{s}\mathfrak{u}{\left(1\Big|1\right)}^4 $$ and s u 1 | 1 2 $$ \mathfrak{s}\mathfrak{u}{\left(1\Big|1\right)}^2 $$ superalgebras from the semiclassically quantized fermion zero modes.

Keywords

• AdS-CFT Correspondence
• Superstrings and Heterotic Strings