The variable mass Thirring/sine Gordon duality and continuous topological configurations

Abstract

We consider a two-dimensional integrable and conformally invariant field theory possessing two Dirac spinors and three scalar fields. There are two types of interactions, the ones which couple bilinear terms in the spinors to exponentials of the scalars and the self-interaction of one · of the scalar fields. Its integrability properties are based on the sl(2) affine Kac-Moody algebra. The off-critica! sub-model is related to a variety of fermion-soliton systems studied in the literature in which the shape of the static soliton is prescribed. In this paper we uncover the weak and strong sectors of the submodel as being the (variable mass) Thirring and sine-Gordon models, respectively. However, certain topological configurations in between are identified in which the both scalar and spinor type fields interact to greater or lesser extent. The spectrum of the Thirring sector is obtained.