The Topological Dipole Field Theory extends the Standard model of particle physics. And how it extends this theory? By adding a 2-form intrinsic fiber bundle curvature B' to the ordinary 2-form field strength Tensor F (ordinary differential-geometric curvature that arises from the gauge bundle connection)! The intrinsic curvature now is an additional degree of freedom. However, it is a topological degree of freedom. This means that only topological circumstances contribute to the intrinsic curvature and not the expicit magnitude of it. Therefore a topological quantum field theory is constructed to the intrinsic curvature. The theory is called "Topological Dipole Field Theory"(TDFT) because the aditional Lagrangian density which is generated by the additional topological intrinsic curvature remembers on the coupling of electric or magnetic fields to a Dipole Moment which is found in electrodynamics.

TDFT can be useful to describe phenomena which the Standard model of particle physics cannot explain. An example is the Baryon asymmetry. This Baryon asymmetry might be produced by additional interactions which TDFT is describing but ordinary Standard model cannot describe (e.g. 5-boson-interactions).

Reference link: https://thewinnower.com/papers/2859-nonabelian-generalization-of-topological-dipole-field-theory

This is a very new field theory that extends Quantum Electrodynamics :

https://thewinnower.com/papers/2658-topological-dipole-field-theory