String triality, black hole entropy and Cayley's hyperdeterminant

Details String triality, black hole entropy and Cayley's hyperdeterminant String triality, black hole entropy and Cayley's hyperdeterminant

2006-01-19

arxiv.org/abs/hep-th/0601134v2

Phys.Rev.D76:025017,2007

Physics

High Energy Physics

High Energy Physics - Theory

Minor improvements. 9 pages latex

Scientific paper

10.1103/PhysRevD.76.025017

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.

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