Conformal symmetry, chiral fermions and semiclassical approximation

TL;DR

This paper derives explicit conformal generators extending Poincare symmetry for massless particles of any helicity, exemplifies with helicity 1/2 particles, and explores their realization in the semiclassical Weyl equation regime.

Contribution

It provides explicit conformal generators for massless particles of arbitrary helicity and demonstrates their semiclassical realization in the Weyl equation.

Findings

Explicit conformal generators for massless particles of arbitrary helicity.

Semiclassical realization of conformal symmetry in the Weyl equation.

Extension of Poincare symmetry to conformal symmetry for massless particles.

Abstract

The explicit form of conformal generators is found which provides the extension of Poincare symmetry for massless particles of arbitrary helicity. The helicity 1/2 particles are considered as the particular example. The realization of conformal symmetry in the semiclassical regime of Weyl equation is obtained.