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The four-dimensional N=2 STU model of string compactification is invariantunder an SL(2,Z)_S x SL(2,Z)_T x SL(2,Z)_U duality acting on the dilaton/axionS, complex Kahler form T and the complex structure fields U, and also under astring/string/string triality S-T-U. The model admits an extremal black holesolution with four electric and four magnetic charges whose entropy mustrespect these symmetries. It is given by the square root of thehyperdeterminant introduced by Cayley in 1845. This also features inthree-qubit quantum entanglement.Comment: Minor improvements. 9 pages late

String triality, black hole entropy, and Cayley’s hyperdeterminant