2014/06/30 by A. Belhaj, Adil Belhaj, M. B. Sedra +3
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #hep-th #math-ph #math.MP
paper · pdf · doi:10.1088/1751-8113/48/4/045401
19 pages, Latex. References updated and minor changes added. A comment on Calabi-Yau manifolds is added. Final version accepted in J. Phys.A: Math.Theor.(2015)
arxiv created 2014/12/17 · openalex publication_date 2014/12/24 · arxiv updated 2015/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
Using graph theory based on Adinkras, we reconsider the study of extremal black branes in the framework of quantum information. More precisely, we propose a one-to-one correspondence between qubit systems, Adinkras and certain extremal black branes obtained from a type IIA superstring compactified on T n . We accordingly interpret the real Hodge diagram of T n as the geometry of a class of Adinkras formed by bosonic nodes representing n qubits. In this graphic representation, each node encodes information on the qubit quantum states and the charges of the extremal black branes built on T n . The correspondence is generalized to n superqubits associated with odd and even geometries on the real supermanifold . Using a combinatorial computation, general expressions describing the number of the bosonic and the fermionic states are obtained.