Fluxes of higher-spin currents and Hawking radiation from charged black holes

Abstract

This is an extended version of the previous paper (hep-th/0701272). Quantum fields near horizons can be described in terms of an infinite set of two-dimensional conformal fields. We first generalize the method of Christensen and Fulling to charged black holes to derive fluxes of energy and charge. These fluxes can be obtained by employing a conformal field theory technique. We then apply this technique to obtain the fluxes of higher-spin currents and show that the thermal distribution of Hawking radiation from a charged black hole can be completely reproduced by investigating transformation properties of the higher-spin currents under conformal and gauge transformations.

W∞algebras, Hawking radiation, and information retention by stringy black holes

“…In order to discuss explicitly the connection of Hawking radiation to our W 1þ∞ symmetries, we first review briefly some interesting results [28,29] connecting Hawking radiation in rather generic, nonstringy, spherically symmetric black holes to a W 1þ∞ algebra realized by higher-spin states associated with the moments of the Hawking radiation. These W 1þ∞ currents are sourced by background fields of these higher-spin states, which can be identified with the discrete gauge states in our stringy approach.…”

“…It was proposed in Ref. [29] that, generalizing the connection of the energy flux of the black hole to a spin-2 current with matrix element F 2 ðωÞ, the higher moments F 2n , n > 1 could be identified as matrix elements of phenomenological higher-spin currents that could be regarded as generalizations of the energy-momentum tensor.…”

“…These higher-spin currents can be expressed [29] as (appropriately normal-ordered) products of two-dimensional boson and fermion fields and their space-time derivatives. In terms of the light-cone variables…”

“…The full spectrum of the radiation is encoded in the infinite set of moments of the Hawking radiation spectrum [29],…”

Anomaly and Hawking Radiation from Regular Black Holes

“…[28].) As some further elaborations, Hawking fluxes of higher-spin currents have been studied in [29] and some clarifications on the use of anomaly have been given in [30].…”