FERMION ZERO MODES AND BLACK-HOLE HYPERMULTIPLETS WITH RIGID SUPERSYMMETRY

Abstract

The gravitini zero modes riding on top of the extreme Reissner-Nordstrom black-hole solution of N=2 supergravity are shown to be normalizable. The gravitini and dilatini zero modes of axion-dilaton extreme black-hole solutions of N=4 supergravity are also given and found to have finite norms. These norms are duality invariant. The finiteness and positivity of the norms in both cases are found to be correlated with the Witten-Israel-Nester construction; however, we have replaced the Witten condition by the pure-spin-3/2 constraint on the gravitini. We compare our calculation of the norms with the calculations which provide the moduli space metric for extreme black holes. The action of the N=2 hypermultiplet with an off-shell central charge describes the solitons of N=2 supergravity. This action, in the Majumdar-Papapetrou multi-black-hole background, is shown to be N=2 rigidly supersymmetric.

18 pages, LaTeX

References in corpus (5)

• Supersymmetry and Stationary Solutions in Dilaton-Axion Gravity
• Three-Dimensional Supergravity and the Cosmological Constant
• Moduli space metric for maximally-charged dilaton black holes
• Sl(2,R)-Duality Covariance of Killing Spinors in Axion-Dilaton Black Holes
• BLACK HOLE MULTIPLETS AND SPONTANEOUS BREAKING OF LOCAL SUPERSYMMETRY

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• Multicenter solutions in Eddington-inspired Born-Infeld gravity
• Black Hole Superpartners and Fixed Scalars
• Positivity of discrete information for CHL black holes
• Effective field theory of slowly-moving "extreme black holes"
• Fermion Zero Modes and Cosmological Constant
• Equation of state for a classical gas of BPS black holes
• On the Gravitini Zero Modes riding on top of Multiple Black Holes
• Fermion zero modes of Denef Bates black holes