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Factorization method and Gegenbauer polynomials in tense brane black hole. (English) Zbl 1221.83030

Summary: Using the Gegenbauer polynomials (associated Jacobi differential) equation, we obtain the exact solution for the fermion excitations of a tense brane black hole. According to the supersymmetry approaches in quantum mechanics we obtain the first order operators which are represented by the generators of Heisenberg algebra. These generators completely relate to the \(N=2\) supersymmetry algebra.

MSC:

83C57 Black holes
12E05 Polynomials in general fields (irreducibility, etc.)
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