Phirotopes, super p-branes and qubit theory
Copyright policy )Phirotopes, super p-branes and qubit theory
The phirotope is a complex generalization of the concept of chirotope in oriented matroid theory. Our main goal in this work is to establish a link between phirotopes, super p-branes and qubit theory. For this purpose we first discuss maximally supersymmetric solutions of 11-dimensional supergravity from the point of view of the oriented matroid theory. We also clarify a possible connection between oriented matroid theory and supersymmetry via the Grassmann-Plücker relations. These links are in turn useful for explaining how our approach can be connected with qubit theory.
Latex, 32 pages, improved version
High Energy Physics - Theory, Nuclear and High Energy Physics, FOS: Physical sciences, String and superstring theories in gravitational theory, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Combinatorial aspects of matroids and geometric lattices, Supergravity, High Energy Physics - Theory (hep-th), Supersymmetric field theories in quantum mechanics, Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.)
High Energy Physics - Theory, Nuclear and High Energy Physics, FOS: Physical sciences, String and superstring theories in gravitational theory, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Combinatorial aspects of matroids and geometric lattices, Supergravity, High Energy Physics - Theory (hep-th), Supersymmetric field theories in quantum mechanics, Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.)
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