On Chiral p-Forms

TL;DR

This paper discusses the mathematical challenges of chiral p-forms, proposes a rigorous classical resolution involving infinite gauge fields, and demonstrates species doubling in chiral bosons.

Contribution

It introduces a rigorous classical framework for chiral p-forms using an infinite gauge field set and explores species doubling phenomena.

Findings

Obstruction to covariant Green functions for chiral p-forms identified

A classical resolution with infinite gauge fields proposed and justified

Species doubling demonstrated for chiral bosons

Abstract

Some aspects of chiral p-forms, in particular the obstruction that makes it hard to define covariant Green functions, are discussed. It is shown that a proposed resolution involving an infinite set of gauge fields can be made mathematically rigourous in the classical case. We also give a brief demonstration of species doubling for chiral bosons.