Spacetime Duality and Two-dimensional Gauge Field Theory

TL;DR

This paper explores a novel spacetime duality approach to dualize a 2D Abelian gauge theory, revealing a broader class of dual theories beyond traditional p-duality, with implications for understanding gauge field dualities.

Contribution

It introduces a new spacetime duality method to dualize 2D Abelian gauge theories, expanding the scope of duality beyond p-duality transformations.

Findings

Spacetime duality can be applied to 2D Abelian gauge theories.

The dual theories obtained are not related by p-duality.

This approach broadens the understanding of gauge theory dualities.

Abstract

In this letter we implement a recently proposed {\it spacetime duality} approach to dualize a two dimensional, Abelian, gauge field theory, which has no dual version under $p$--duality. Our result suggests that spacetime duality spans a new, wider, class of dual theories, which cannot be related one to another by $p$--duality transformations.