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arXiv · 1109.0444

Generalized Mirror Symmetry and Quantum Black Hole Entropy

Sergio Ferrara·Alessio Marrani
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Abstract

We find general relations between the on-shell gravitational trace anomaly A_N, and the logarithmic correction Delta S_N to the entropy of "large" BPS extremal black holes in N>1 supergravity theories in D=4 space-time dimensions (recently computed by Sen [arXiv:1108.3842]). For (generalized) self-mirror theories (all having A_N = 0), we obtain the result DeltaS_N = - Delta S_(8-N) = 2 - N/2, whereas for generic theories the trace anomaly tildeA_N of the fully dualized theory turns out to coincide with 2Delta S_N, up to a model-independent shift: tildeA_N = 2Delta S_N - 1. We also speculate on N=1 theories displaying "large" extremal black hole solutions.

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Sergio Ferrara, Alessio Marrani. 2011-09-02. Generalized Mirror Symmetry and Quantum Black Hole Entropy. https://doi.org/10.1016/j.physletb.2011.12.005

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