Archivio Istituzionale della RicercaThe 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) + 2n (N being the number of supersymmetries and n the number of matter multiplets) and semipositive definite.
U-invariants, black-hole entropy and fixed scalars / Andrianopoli, Laura Maria; D'Auria, Riccardo; S., Ferrara. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - 403:1-2(1997), pp. 12-19. [10.1016/S0370-2693(97)00454-1]
U-invariants, black-hole entropy and fixed scalars
ANDRIANOPOLI, Laura Maria;D'AURIA, RICCARDO;
1997
Abstract
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) + 2n (N being the number of supersymmetries and n the number of matter multiplets) and semipositive definite.
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https://hdl.handle.net/11583/1637791
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