Special Vinberg cones and the entropy of BPS extremal black holes
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F21%3A50018641" target="_blank" >RIV/62690094:18470/21:50018641 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007%2FJHEP11%282021%29100" target="_blank" >https://link.springer.com/article/10.1007%2FJHEP11%282021%29100</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/JHEP11(2021)100" target="_blank" >10.1007/JHEP11(2021)100</a>
Alternative languages
Result language
angličtina
Original language name
Special Vinberg cones and the entropy of BPS extremal black holes
Original language description
We consider the static, spherically symmetric and asymptotically flat BPS extremal black holes in ungauged N = 2 D = 4 supergravity theories, in which the scalar manifold of the vector multiplets is homogeneous. By a result of Shmakova on the BPS attractor equations, the entropy of this kind of black holes can be expressed only in terms of their electric and magnetic charges, provided that the inverse of a certain quadratic map (uniquely determined by the prepotential of the theory) is given. This inverse was previously known just for the cases in which the scalar manifold of the theory is a homogeneous symmetric space. In this paper we use Vinberg's theory of homogeneous cones to determine an explicit expression for such an inverse, under the assumption that the scalar manifold is homogeneous, but not necessarily symmetric. As immediate consequence, we get a formula for the entropy of BPS black holes that holds in any model of N = 2 supergravity with homogeneous scalar manifold.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of High Energy Physics
ISSN
1029-8479
e-ISSN
—
Volume of the periodical
Neuveden
Issue of the periodical within the volume
11
Country of publishing house
US - UNITED STATES
Number of pages
35
Pages from-to
"Article Number: 100"
UT code for WoS article
000719331100005
EID of the result in the Scopus database
2-s2.0-85119132792