U-Invariants, Black-Hole Entropy and Fixed Scalars

The absolute (moduli-independent) U-invariants of all N>2 extended supergravities at D=4 are derived in terms of (moduli-dependent) central and matter charges. These invariants give a general definition of the ``topological'' Bekenstein-Hawking entropy formula for extremal black-holes a...

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Detalles Bibliográficos
Autores principales: Andrianopoli, Laura, D'Auria, R, Ferrara, Sergio
Lenguaje:eng
Publicado: 1997
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/S0370-2693(97)00454-1
http://cds.cern.ch/record/322857
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author Andrianopoli, Laura
D'Auria, R
Ferrara, Sergio
author_facet Andrianopoli, Laura
D'Auria, R
Ferrara, Sergio
author_sort Andrianopoli, Laura
collection CERN
description The absolute (moduli-independent) U-invariants of all N>2 extended supergravities at D=4 are derived in terms of (moduli-dependent) central and matter charges. These invariants give a general definition of the ``topological'' Bekenstein-Hawking entropy formula for extremal black-holes and reduce to the square of the black-hole ADM mass for ``fixed scalars'' which extremize the black-hole ``potential'' energy. The Hessian matrix of the black-hole potential at ``fixed scalars'', in contrast to N=2 theories, is shown to be degenerate, with rank (N-2)(N-3) + 2 n (N being the number of supersymmetries and n the number of matter multiplets) and semipositive definite.
id cern-322857
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1997
record_format invenio
spelling cern-3228572019-09-30T06:29:59Zdoi:10.1016/S0370-2693(97)00454-1http://cds.cern.ch/record/322857engAndrianopoli, LauraD'Auria, RFerrara, SergioU-Invariants, Black-Hole Entropy and Fixed ScalarsParticle Physics - TheoryThe absolute (moduli-independent) U-invariants of all N>2 extended supergravities at D=4 are derived in terms of (moduli-dependent) central and matter charges. These invariants give a general definition of the ``topological'' Bekenstein-Hawking entropy formula for extremal black-holes and reduce to the square of the black-hole ADM mass for ``fixed scalars'' which extremize the black-hole ``potential'' energy. The Hessian matrix of the black-hole potential at ``fixed scalars'', in contrast to N=2 theories, is shown to be degenerate, with rank (N-2)(N-3) + 2 n (N being the number of supersymmetries and n the number of matter multiplets) and semipositive definite.hep-th/9703156CERN-TH-97-056oai:cds.cern.ch:3228571997-03-24
spellingShingle Particle Physics - Theory
Andrianopoli, Laura
D'Auria, R
Ferrara, Sergio
U-Invariants, Black-Hole Entropy and Fixed Scalars
title U-Invariants, Black-Hole Entropy and Fixed Scalars
title_full U-Invariants, Black-Hole Entropy and Fixed Scalars
title_fullStr U-Invariants, Black-Hole Entropy and Fixed Scalars
title_full_unstemmed U-Invariants, Black-Hole Entropy and Fixed Scalars
title_short U-Invariants, Black-Hole Entropy and Fixed Scalars
title_sort u-invariants, black-hole entropy and fixed scalars
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/S0370-2693(97)00454-1
http://cds.cern.ch/record/322857
work_keys_str_mv AT andrianopolilaura uinvariantsblackholeentropyandfixedscalars
AT dauriar uinvariantsblackholeentropyandfixedscalars
AT ferrarasergio uinvariantsblackholeentropyandfixedscalars

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