Conformal invariance of tensor bosons tree amplitudes

TL;DR

This paper proves that tree-level scattering amplitudes involving tensor gauge bosons of arbitrary spin in generalized Yang-Mills theory are invariant under conformal transformations, highlighting their symmetry properties.

Contribution

It demonstrates conformal invariance of MHV amplitudes for tensor gauge bosons, extending known symmetries to higher-spin particles in gauge theories.

Findings

MHV amplitudes for tensor bosons are conformally invariant.

Comparison between tensor bosons and gravitons reveals key similarities and differences.

Tree-level scattering amplitudes exhibit symmetry properties relevant for theoretical physics.

Abstract

The BCFW recursion relation allows to find out the tree-level scattering amplitudes for gluons and tensor gauge bosons in generalized Yang-Mills theory. We demonstrate that the corresponding MHV amplitudes for the tensor gauge bosons of spin-s and n gluons are invariant under conformal group transformations. We discuss and compare the tree-level scattering amplitudes for the charged tensor bosons with the corresponding scattering amplitudes for gravitons, stressing their differences and similarities.