Duality in massive spin 2 theories in 2+1 dimensions (In spanish)

TL;DR

This paper explores duality transformations among different massive spin 2 models in 2+1 dimensions, highlighting their gauge invariances and relations between their partition functions.

Contribution

It establishes the duality relations connecting selfdual, intermediate, and topologically massive spin 2 models, including their gauge invariances.

Findings

Dual models are connected via duality transformations.

Partition functions of these models are related.

Gauge invariances distinguish different models.

Abstract

The equations of motion that must be satisfied by fields that constitute realizations of the Poincare group algebra, for integral spin, and mass m, are obtained. For the case of massive spin 2 these equations are satisfied by the selfdual, intermediate and the linear topologically massive models, whose actions are connected by duality transformations. These duality transformations incorporate the gauge invariances that distinguish one action from the other. The relation between their partition functions is briefly discussed.