Antisymmetric tensor matter fields in a curved space-time

TL;DR

This paper analyzes the Avdeev-Chizhov antisymmetric tensor matter fields in curved space-time, revealing their equivalence to a complex self-dual field in a λϕ⁴ theory, and computes the associated energy-momentum tensor.

Contribution

It demonstrates that the Avdeev-Chizhov theory can be reformulated as a λϕ⁴ theory for a complex self-dual field in curved space-time, simplifying its study.

Findings

The theory can be viewed as a λϕ⁴ model in curved space-time.

The energy-momentum tensor for the matter fields is explicitly computed.

The reformulation aids in understanding tensor matter fields in curved backgrounds.

Abstract

An analysis about the antisymmetric tensor matter fields Avdeev-Chizhov theory in a curved space-time is performed. We show, in a curved spacetime, that the Avdeev-Chizhov theory can be seen as a kind of a $\lambda\phi^{4}$ theory for a "complex self-dual" field. This relationship between Avdeev-Chizhov theory and $\lambda\phi^{4}$ theory simplify the study of tensor matter fields in a curved space-time. The energy-momentum tensor for matter fields is computed.