Interference of Spin-2 Self-Dual Modes

TL;DR

This paper investigates the interference effects between self-dual and anti self-dual modes in topological gravity, revealing how their combination produces massive Proca-type modes and providing insights into their physical spectrum.

Contribution

It introduces a detailed analysis of dual models in linearized Einstein-Chern-Simons gravity and demonstrates how interference leads to massive modes with a clear physical interpretation.

Findings

Interference produces massive Proca-type modes.

Dual models' spectra are carefully characterized.

The soldered theory reveals explicit massive modes.

Abstract

We study the effects of interference between the self-dual and anti self-dual massive modes of the linearized Einstein-Chern-Simons topological gravity. The dual models to be used in the interference process are carefully analyzed with special emphasis on their propagating spectrum. We identify the opposite dual aspects, necessary for the application of the interference formalism on this model. The soldered theory so obtained displays explicitly massive modes of the Proca type. It may also be written in a form of Polyakov-Weigman identity to a better appreciation of its physical contents.