Generalized Mirror Symmetry and Quantum Black Hole Entropy
High Energy Physics - Theory
2015-05-30 v2
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.
Keywords
Cite
@article{arxiv.1109.0444,
title = {Generalized Mirror Symmetry and Quantum Black Hole Entropy},
author = {Sergio Ferrara and Alessio Marrani},
journal= {arXiv preprint arXiv:1109.0444},
year = {2015}
}
Comments
1+8 pages, 2 Tables; v2:comments added below Eq. (4.13)