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U-Invariants, Black-Hole Entropy and Fixed Scalars

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arxiv hep-th/9703156 v1 pith:5LOUVXTW submitted 1997-03-23 hep-th

L. Andrianopoli , R. D'Auria , S. Ferrara This is my paper
classification hep-th
keywords black-holefixedscalarsentropymatternumberpotentialu-invariants
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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.

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  1. Supersymmetry and Attractors in N = 4 Supergravity: The Superconformal Approach

    hep-th 2026-03 unverdicted novelty 5.5 of 10

    Numerical confirmation of the attractor mechanism and 1/4 supersymmetry preservation for generic dyonic extremal black holes in pure N=4 supergravity.

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