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arXiv · 1404.5926

Particle-vortex and Maxwell duality in the $AdS_4\times \mathbb{CP}^3$/ABJM correspondence

Jeff Murugan·Horatiu Nastase·Nitin Rughoonauth·Jonathan P. Shock
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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 $AdS_{4}\times\mathbb{CP}^{3}$ bulk.

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Jeff Murugan, Horatiu Nastase, Nitin Rughoonauth, Jonathan P. Shock. 2014-04-23. Particle-vortex and Maxwell duality in the $AdS_4\times \mathbb{CP}^3$/ABJM correspondence. https://doi.org/10.1007/jhep10(2014)051

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