Selfdual Spin 2 Theory in a 2+1 Dimensional Constant Curvature Space-Time

TL;DR

This paper analyzes the selfdual massive spin 2 theory in 2+1 dimensions, extending it from flat to curved space-time, identifying restrictions on couplings, forbidden mass values, and discussing causality and particle interactions.

Contribution

It provides a detailed constraint analysis of the selfdual spin 2 theory in curved space, revealing new restrictions and properties in a constant curvature background.

Findings

Identifies physical restrictions on non minimal coupling terms.

Shows existence of forbidden mass values in curved space.

Discusses causality and particle exchange in the model.

Abstract

The Lagrangian constraint analysis of the selfdual massive spin 2 theory in a 2+1 dimensional flat space-time and its extension to a curved one, are performed. Demanding consistence of degrees of freedom in the model with gravitational interaction, gives rise to physical restrictions on non minimal coupling terms and background. Finally, a constant curvature scenario is explored, showing the existence of forbidden mass values. Causality in these spaces is discussed. Aspects related with the construction of the reduced action and the one-particle exchange amplitude, are noted.