Black hole entropy and finite geometry
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388955%3A_____%2F09%3A00336528" target="_blank" >RIV/61388955:_____/09:00336528 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Black hole entropy and finite geometry
Original language description
It is shown that the E6(6) symmetric entropy formula describing black holes and black strings in D=5 is intimately tied to the geometry of the generalized quadrangle GQ(2, 4) with automorphism group the Weyl group W(E6). The 27 charges correspond to thepoints and the 45 terms in the entropy formula to the lines of GQ(2, 4). Different truncations with 15, 11 and 9 charges are represented by three distinguished subconfigurations of GQ(2, 4), well known to finite geometers; these are the doily?? [i.e. GQ(2, 2)] with 15, the perp set?? of a point with 11, and the grid?? [i.e. GQ(2, 1)] with nine points, respectively. In order to obtain the correct signs for the terms in the entropy formula, we use a noncommutative labeling for the points of GQ(2, 4). Forthe 40 different possible truncations with nine charges this labeling yields 120 Mermin squares?objects well known from studies concerning Bell-Kochen-Specker-like theorems.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
CF - Physical chemistry and theoretical chemistry
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2009
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review D: Particles, Fields, Gravitation and Cosmology
ISSN
1550-7998
e-ISSN
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Volume of the periodical
79
Issue of the periodical within the volume
8
Country of publishing house
US - UNITED STATES
Number of pages
5
Pages from-to
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UT code for WoS article
000266408500098
EID of the result in the Scopus database
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