Self-duality and soldering in odd dimensions

TL;DR

This paper explores the connection between quantum mechanical models and self-dual field theories in odd dimensions, clarifying the concepts of self-duality and self-dual factorization using the soldering formalism.

Contribution

It establishes a complete correspondence between quantum mechanical models and self-dual field theories in odd dimensions, and clarifies key distinctions in self-duality concepts.

Findings

Established correspondence between models and field theories

Clarified difference between self duality and self dual factorization

Highlighted features of quantum models using soldering formalism

Abstract

Using the recently developed soldering formalism we highlight certain features of quantum mechanical models. The complete correspondence between these models and self dual field theoretical models in odd dimensions is established. The distinction between self duality and self dual factorisation in these dimensions is clarified.