Hawking fluxes, Fermionic currents, W_1+∞ algebra, and anomalies

Scientific paper - Original scientific paper

• Author: Loriano Bonora
• Author: Maro Cvitan
• Author: Silvio Pallua
• Author: Ivica Smolić
• Author's institution: University of Zagreb; Faculty of Science; (Department of Physics)
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract (english)

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 the 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 two-dimensional currents of any spin that form a W1+∞ algebra, we construct an infinite set of covariant currents, each of which carries 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 based not on the anomalies of the higher-spin currents (which are trivial) but on the underlying W1+∞ 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∞ algebra.

• Keywords (english): Hawking radiation; W-infinity algebra; anomalies
• Language: english
• Publication type: Scientific paper - Original scientific paper
• Publication status: Published
• Peer review: Peer review - international
• Publication version: Published version
• Journal title: Physical Review D - Particles, Fields, Gravitation and Cosmology
• Numbering: vol. 80, no. 8, 084034
• p-ISSN: 1550-7998
• e-ISSN: 1550-2368
• DOI: https://doi.org/10.1103/PhysRevD.80.084034
• URN:NBN: urn:nbn:hr:217:844671
• Publication: 2009
• Project: Number: 119-0982930-1016; Title (croatian): Elementarne čestice, teorija polja i kozmologija; Leader: Ivica Picek; Jurisdiction: Croatia; Funding stream: ZP
• Document URL: http://link.aps.org/doi/10.1103/PhysRevD.80.084034
• Type of resource: Text
• Access conditions: Open access
• Public note: Copyright (2009) by the American Physical Society. Received 24 July 2009; published 23 October 2009.
• Created on: 2019-10-28 15:41:43