Boson-fermion correspondence on the circle via quantum stochastic calculus (Q1586469)

The quantum stochastic differential formula \(dB=(-1)^\Lambda dA\), known to relate boson and fermion fields \(A\) and \(B\), respectively, on the Fock space over \(L^2(\mathbb{R}_+)\), is shown to hold in a modified form in a Fock space associated with the nontrivial complex line bundle over the circle \(S^1\).