Abstract
We revisit the notion of particle-vortex duality in abelian theories of complex scalar fields coupled to gauge fields, formulating the duality as a transformation at the level of the path integral. This transformation is then made symmetric and cast as a self-duality that maps the original theory into itself with the role of particles and vortices interchanged. After defining the transformation for a pure Chern-Simons gauge theory, we show how to embed it into (a sector of) the (2 + 1)-dimensional ABJM model, and argue that this duality can be understood as being related to 4-dimensional Maxwell duality in the AdS4 × ℂℙ3 bulk.
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ArXiv ePrint: 1404.5926
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Murugan, J., Nastase, H., Rughoonauth, N. et al. Particle-vortex and Maxwell duality in the AdS4 × ℂℙ3/ABJM correspondence. J. High Energ. Phys. 2014, 51 (2014). https://doi.org/10.1007/JHEP10(2014)051
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DOI: https://doi.org/10.1007/JHEP10(2014)051
Keywords
- Duality in Gauge Field Theories
- Solitons Monopoles and Instantons
- AdS-CFT Correspondence