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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&apos;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