Work

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

Year: 2007
Type: article
Abstract: The four-dimensional $N=2$ $STU$ model of string compactification is invariant under an $SL(2,Z{)}_{S}\ifmmode\times\else\texttimes\fi{}SL(2,Z{)}_{T}\ifmmode\times\else\texttimes\fi{}SL(2,Z{)}_{U}$ 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 $S\ensuremath{\leftrightarrow}T\ensuremath{\leftrightarrow}U$. 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.
Author: M. J. Duff
Language: English
Open Access status: bronze
OpenAlex ID: W1976773079
FWCI: 7.518
Cites: 20
Cited by: 113
Related to: 10