String triality, black hole entropy and Cayley's hyperdeterminant
高能物理 - 理论
2008-11-26 v2 广义相对论与量子宇宙学
数学物理
math.MP
量子物理
摘要
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.
引用
@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}
}
备注
Minor improvements. 9 pages latex