Thirring model on a Riemann surface (Q912443)

An earlier study of the Thirring model partition function is extended to incorporate twisted boundary conditions on the homology cycles of a genus g Riemann surface without boundaries. Two bosonized path integral representations of the Thirring partition function are studied and shown to be equivalent and to reproduce the fermi version including details of spin structures. For manifolds with boundaries, the example of the cylinder shows that the bosonized representations are equivalent but associated with different de Rham cohomologies.