Physics
Scientific paper
May 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978phrvd..17.2567y&link_type=abstract
Physical Review D (Particles and Fields), Volume 17, Issue 10, 15 May 1978, pp.2567-2572
Physics
6
Scientific paper
In supergravity theories, we investigate the conformal anomaly of the path-integral determinant and the problem-of fermion zero modes in the presence of a nontrivial background metric. Except in SO(3)-invariant supergravity, there are nonvanishing conformal anomalies. As a consequence, amplitudes around the nontrivial background metric contain unpredictable arbitrariness. The fermion zero modes which are explicitly constructed for the Euclidean Schwarzschild metric are interpreted as an indication of the supersymmetric multiplet structure of a black hole. The degree of degeneracy of a black hole is 24n in SO(n) supergravity.
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