Spacetime Duality and Superduality

TL;DR

This paper introduces a novel class of duality symmetries in quantum field theories based on spacetime symmetries, demonstrated through dualities in various 1+1 dimensional models, including supersymmetric cases.

Contribution

It proposes a new type of duality based on spacetime symmetries, expanding the framework of dualities beyond internal symmetries and illustrating it with multiple models.

Findings

Duality transformations can interchange chiral and twisted-chiral multiplets in (2,2) models.

New dualities are applicable to both nonsupersymmetric and supersymmetric theories.

The approach broadens the understanding of symmetry relations in quantum field theories.

Abstract

We introduce a new class of duality symmetries amongst quantum field theories. The new class is based upon global spacetime symmetries, such as Poincare invariance and supersymmetry, in the same way as the existing duality transformations are based on global internal symmetries. We illustrate these new duality transformations by dualizing several scalar and spin-half theories in 1+1 spacetime dimensions, involving nonsupersymmetric as well as (1,1) and (2,2) supersymmetric models. For (2,2) models the new duality transformations can interchange chiral and twisted-chiral multiplets.