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Superpotential from black holes

Journal Article · · Physical Review, D
 [1]
  1. Physics Department, Stanford University, Stanford, California 94305-4060 (United States)

Bogomol{close_quote}ni-Prasad-Sommerfield (BPS) monopoles in {ital N}=2 SUSY theories may lead to monopole condensation and confinement. We have found that supersymmetric black holes with a nonvanishing area of the horizon may stabilize the moduli in theories where the potential is proportional to the square of the graviphoton central charge. In particular, in models of spontaneous breaking of {ital N}=2 to {ital N}=1 global SUSY theories (or local theories in the limit of an infinite Planckian mass), the parameters of the electric and magnetic Fayet-Iliopoulos terms can be considered proportional to electric and magnetic charges of the dyonic black holes. Upon such identification the field-dependent part of the potential is found to be proportional to the square of the black-hole mass. The fixed values of the moduli near the black-hole horizon correspond exactly to the minimum of this potential. The value of the potential at the minimum is proportional to the black-hole entropy. {copyright} {ital 1996 The American Physical Society.}

OSTI ID:
385878
Journal Information:
Physical Review, D, Journal Name: Physical Review, D Journal Issue: 8 Vol. 54; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English

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