Black holes admitting a Freudenthal dual

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Title: Black holes admitting a Freudenthal dual
Authors: Borsten, L
Dahanayake, D
Duff, MJ
Rubens, W
Item Type: Journal Article
Abstract: The quantized charges x of four-dimensional stringy black holes may be assigned to elements of an integral Freudenthal triple system whose automorphism group is the corresponding U duality and whose U-invariant quartic norm Δ(x) determines the lowest-order entropy. Here, we introduce a Freudenthal duality x→˜x, for which ˜˜x=−x. Although distinct from U duality, it nevertheless leaves Δ(x) invariant. However, the requirement that ˜x be an integer restricts us to the subset of black holes for which Δ(x) is necessarily a perfect square. The issue of higher-order corrections remains open as some, but not all, of the discrete U-duality invariants are Freudenthal invariant. Similarly, the quantized charges A of five-dimensional black holes and strings may be assigned to elements of an integral Jordan algebra, whose cubic norm N(A) determines the lowest-order entropy. We introduce an analogous Jordan dual A⋆, with N(A) necessarily a perfect cube, for which A⋆⋆=A and which leaves N(A) invariant. The two dualities are related by a 4D/5D lift.
Issue Date: 15-Jul-2009
Date of Acceptance: 1-Jul-2009
URI: http://hdl.handle.net/10044/1/68478
DOI: https://dx.doi.org/10.1103/PhysRevD.80.026003
ISSN: 2470-0010
Publisher: American Physical Society
Journal / Book Title: Physical Review D
Volume: 80
Issue: 2
Copyright Statement: © 2009 American Physical Society.
Sponsor/Funder: Science and Technology Facilities Council (STFC)
Funder's Grant Number: ST/G000743/1
Keywords: Science & Technology
Physical Sciences
Astronomy & Astrophysics
Physics, Particles & Fields
Physics
MAXWELL-EINSTEIN SUPERGRAVITY
JORDAN ALGEBRAS
GENERATING SOLUTION
EXCEPTIONAL GROUPS
CENTRAL CHARGES
STRING THEORY
U-DUALITY
ATTRACTORS
OCTONIONS
ENTROPY
hep-th
gr-qc
math.RA
0201 Astronomical And Space Sciences
0202 Atomic, Molecular, Nuclear, Particle And Plasma Physics
0206 Quantum Physics
Nuclear & Particles Physics
Publication Status: Published
Article Number: 026003
Online Publication Date: 2009-07-16
Appears in Collections:Physics
Faculty of Natural Sciences



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