Duality Symmetry and Soldering in Different Dimensions

TL;DR

This paper presents a systematic method to construct duality symmetric actions across various dimensions, introduces the concept of swapping duality, and explores the implications of soldering actions, including coupling to gravity and generalizations.

Contribution

It develops a unified approach for obtaining duality symmetric actions in different dimensions and introduces the novel concept of swapping duality and soldering techniques.

Findings

Constructed duality symmetric actions for harmonic oscillator, scalar, and Maxwell theories.

Introduced the concept of swapping duality and analyzed its implications.

Extended the framework to arbitrary dimensions and coupling to gravity.

Abstract

We develop a systematic method of obtaining duality symmetric actions in different dimensions. This technique is applied for the quantum mechanical harmonic oscillator, the scalar field theory in two dimensions and the Maxwell theory in four dimensions. In all cases there are two such distinct actions. Furthermore, by soldering these distinct actions in any dimension a master action is obtained which is duality invariant under a much bigger set of symmetries than is usually envisaged. The concept of swapping duality is introduced and its implications are discussed. The effects of coupling to gravity are also elaborated. Finally, the extension of the analysis for arbitrary dimensions is indicated.