Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-05-17
JHEP 1103:147,2011
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX file, 52 pages; v2: minor corrections, references added
Scientific paper
10.1007/JHEP03(2011)147
We evaluate the one loop determinant of matter multiplet fields of N=4 supergravity in the near horizon geometry of quarter BPS black holes, and use it to calculate logarithmic corrections to the entropy of these black holes using the quantum entropy function formalism. We show that even though individual fields give non-vanishing logarithmic contribution to the entropy, the net contribution from all the fields in the matter multiplet vanishes. Thus logarithmic corrections to the entropy of quarter BPS black holes, if present, must be independent of the number of matter multiplet fields in the theory. This is consistent with the microscopic results. During our analysis we also determine the complete spectrum of small fluctuations of matter multiplet fields in the near horizon geometry.
Banerjee Shamik
Gupta Rajesh K.
Sen Ashoke
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