In 2D (time + space) there is no notion of statistic. So particles can be described in terms of bosonic and fermionic fields.
Well-known example is Thirring/Sine-Gordon duality. There are also some examples: $\phi^4$ theory kinks as fermions?
Are some examples of application of bosonization in supersymmetry?
Is it possible to describe some SUSY theory only in terms of bosonic fields?
What is then meaning of SUSY transformations, realized in terms of bosons?
