A 4-dimensional duality web for theories with theta and Maxwell terms

A 4D duality web

We construct a web of non-supersymmetric dualities in four spacetime dimensions for theories with theta and maxwell terms.The resulting 4-dimensional duality web is best understood as an extension of the, by now well-known, 3-dimensional case due to its somewhat singular nature.As in the 3-dimensional case, the webconsists of boson-boson, fermion-fermion and boson-fermion dualities, any one of which can be taken as a seed for the remaining two.We conjecture that this is the final thread in a multi-dimensional duality web that connects low energy theories in 4, 3- and 2-spacetime dimensions and speculate on its application to 3-dimensional topological insulators.