String triality, black hole entropy and Cayley's hyperdeterminant
High Energy Physics - Theory
2008-11-26 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Quantum Physics
Abstract
The four-dimensional N=2 STU model of string compactification is invariant under an SL(2,Z)_S x SL(2,Z)_T x SL(2,Z)_U duality acting on the dilaton/axion S, complex Kahler form T and the complex structure fields U, and also under a string/string/string triality S-T-U. The model admits an extremal black hole solution with four electric and four magnetic charges whose entropy must respect these symmetries. It is given by the square root of the hyperdeterminant introduced by Cayley in 1845. This also features in three-qubit quantum entanglement.
Cite
@article{arxiv.hep-th/0601134,
title = {String triality, black hole entropy and Cayley's hyperdeterminant},
author = {M. J. Duff},
journal= {arXiv preprint arXiv:hep-th/0601134},
year = {2008}
}
Comments
Minor improvements. 9 pages latex