Description
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 non-compact topological field theory of
particles and vortices. It has exactly the same form of 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 ? is quantized as ?8?n/m
where n and m are the quantum numbers associated to
electric and magnetic charges. These topological states lack a
non-interacting equivalent.
Ref.: F. S. Nogueira, Z. Nussinov, and J. van den Brink, Phys.
Rev. D 94, 085003 (2016).
