Hawking fluxes, Fermionic currents, W(1+infinity) algebra and anomalies

TL;DR

This paper extends the analysis of Hawking radiation to fermionic currents of any spin in Kerr black holes, demonstrating that a W(1+infinity) algebra underpins the thermal spectrum of emitted particles.

Contribution

It constructs an infinite set of covariant fermionic currents forming a W(1+infinity) algebra, linking near-horizon symmetries to Hawking radiation spectra.

Findings

Fermionic currents of any spin reproduce the Hawking thermal spectrum.

The near-horizon physics is effectively described by a 2D fermionic field theory.

The W(1+infinity) algebra underlies the symmetry structure responsible for Hawking radiation.

Abstract

We complete the analysis carried out in previous papers by studying the Hawking radiation for a Kerr black-hole carried to infinity by fermionic currents of any spin. We find agreement with thermal spectrum of the Hawking radiation for fermionic degrees of freedom. We start by showing that the near-horizon physics for a Kerr black-hole is approximated by an effective two-dimensional field theory of fermionic fields. Then, starting from 2d currents of any spin that form a W(1+infinity) algebra, we construct an infinite set of covariant currents, each of which carry the corresponding moment of the Hawking radiation. All together they agree with the thermal spectrum of the latter. We show that the predictive power of this method is not based on the anomalies of the higher spin currents (which are trivial), but on the underlying W(1+infinity) structure. Our results point toward the existence in the near-horizon geometry of a symmetry larger than the Virasoro algebra, which very likely takes the form of a W(infinity) algebra.