Dual Form of the Paperclip Model

TL;DR

This paper introduces a dual formulation of the 2D paperclip model in quantum field theory, replacing boundary constraints with boundary interactions involving an extra degree of freedom, highlighting the role of the topological theta-angle.

Contribution

It presents a dual description of the paperclip model, connecting boundary constraints to boundary interactions with an additional degree of freedom and explicitly involving the theta-angle.

Findings

Dual form involves boundary interaction with an extra degree of freedom

Explicit role of the topological theta-angle in the dual description

Provides an alternative perspective on boundary conditions in the model

Abstract

The ``paperclip model'' is 2D model of Quantum Field Theory with boundary interaction defined through a special constraint imposed on the boundary values of massless bosonic fields (hep-th/0312168). Here we argue that this model admits equivalent ``dual'' description, where the boundary constraint is replaced by special interaction of the boundary values of the bosonic fields with an additional boundary degree of freedom. The dual form involves the topological theta-angle in explicit way.