Duality of a compact topological superconductor model and the Witten effect
Flavio S. Nogueira, Zohar Nussinov, Jeroen van den Brink
DOI 10.1103/PhysRevD.94.085003 · Physical Review D
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Abstract
We consider a compact Abelian Higgs model in 3+1 dimensions with a topological axion term and construct its dual theories for both bulk and boundary at strong coupling. The model may be viewed as describing a superconductor with magnetic monopoles, which can also be interpreted as a field theory of a topological Mott insulator. We show that this model is dual to a noncompact topological field theory of particles and vortices. It has exactly the same form as a model for superconducting cosmic strings with an axion term. We consider the duality of the boundary field theory at strong coupling and show that in this case θ is quantized as −8πn/m, where n and m are the quantum numbers associated with electric and magnetic charges. These topological states lack a noninteracting equivalent.
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