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E(7) Symmetric Area of the Black Hole Horizon

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arxiv hep-th/9602014 v2 pith:PDR66TA6 submitted 1996-02-05 hep-th

E(7) Symmetric Area of the Black Hole Horizon

classification hep-th
keywords areahorizonblackinvariantsupersymmetryunbrokencasecases
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Extreme black holes with 1/8 of unbroken N=8 supersymmetry are characterized by the non-vanishing area of the horizon. The central charge matrix has four generic eigenvalues. The area is proportional to the square root of the invariant quartic form of $E_{7(7)}$. It vanishes in all cases when 1/4 or 1/2 of supersymmetry is unbroken. The supergravity non-renormalization theorem for the area of the horizon in N=8 case protects the unique U-duality invariant.

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Cited by 1 Pith paper

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