Dipoles, Twists and Noncommutative Gauge Theory

TL;DR

This paper explores how T-duality in noncommutative gauge theories extends to include twisted boundary conditions, resulting in nonlocal dipole fields with unique properties.

Contribution

It introduces the concept of dipole fields in noncommutative gauge theories and analyzes their properties and implications under T-duality.

Findings

Dipole fields have constant magnitude and nonlocal interactions.

Certain properties of noncommutative field theories are simplified in dipole-theories.

The work extends T-duality to include twisted boundary conditions in gauge theories.

Abstract

T-duality of gauge theories on a noncommutative $T^d$ can be extended to include fields with twisted boundary conditions. The resulting T-dual theories contain novel nonlocal fields. These fields represent dipoles of constant magnitude. Several unique properties of field theories on noncommutative spaces have simpler counterparts in the dipole-theories.