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arxiv: hep-th/9612236 · v1 · submitted 1996-12-26 · ✦ hep-th

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Incidence Matrix Description of Intersecting p-brane Solutions

I.Ya.Aref'eva , O.A.Rytchkov
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classification ✦ hep-th
keywords solutionscharacteristicequationsincidenceintersectingmatrixalgebraicp-brane
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An algebraic method for a general construction of intersecting p-brane solutions in diverse spacetime dimensions is discussed. An incidence matrix describing configurations of electric and magnetic fields is introduced. Intersecting p-branes are specified by solutions of a system of characteristic algebraic equations for the incidence matrix. This set of characteristic equations generalizes a single characteristic equation found before for a special "flower" ansatz. The characteristic equations admit solutions only for quantized values of scalar coupling parameters. A wide list of examples including solutions with regular horizons and non-zero entropy in D=11 and D=10 theories is presented.

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