2006/01/31 by M. J. Duff · 118 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Compactification (mathematics) #Cosmology and Gravitation Theories #Geometry #Homogeneous space #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum #Quantum entanglement #Quantum mechanics #String (physics) #Theoretical physics #Triality #gr-qc #hep-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1103/physrevd.76.025017
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 76(2) (American Physical Society) · Minor improvements. 9 pages latex
arxiv created 2007/05/02 · openalex publication_date 2007/07/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The four-dimensional N=2 STU model of string compactification is invariant under an SL(2,Z)S\ifmmode×\else\texttimes\fiSL(2,Z)T\ifmmode×\else\texttimes\fiSL(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\ensuremath↔T\ensuremath↔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 three-qubit quantum entanglement.