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- W2117228732 abstract "We relate the $U$-duality invariants characterizing two-center extremal black-hole solutions in the $stu$, $s{t}^{2}$, and ${t}^{3}$ models of $N=2$, $d=4$ supergravity to the basic invariants used to characterize entanglement classes of four-qubit systems. For the elementary example of a D0D4-D2D6 composite in the ${t}^{3}$ model we illustrate how these entanglement invariants are related to some of the physical properties of the two-center solution. Next we show that it is possible to associate elliptic curves to charge configurations of two-center composites. The hyperdeterminant of the hypercube, a four-qubit polynomial invariant of order 24 with 2 894 276 terms, is featuring the $j$ invariant of the elliptic curve. We present some evidence that this quantity and its straightforward generalization should play an important role in the physics of two-center solutions." @default.
- W2117228732 created "2016-06-24" @default.
- W2117228732 creator A5017479845 @default.
- W2117228732 date "2011-07-28" @default.
- W2117228732 modified "2023-09-25" @default.
- W2117228732 title "Two-center black holes, qubits, and elliptic curves" @default.
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- W2117228732 doi "https://doi.org/10.1103/physrevd.84.025023" @default.
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