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arxiv: 1007.2982 · v2 · pith:5DKS5S5Cnew · submitted 2010-07-18 · ✦ hep-th

Nonabelian (2,0) Tensor Multiplets and 3-algebras

classification ✦ hep-th
keywords tensoralgebrasmultipletsnonabelianreductionsystemabelianalong
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Using 3-algebras we obtain a nonabelian system of equations that furnish a representation of the (2,0)-supersymmetric tensor multiplet. The on-shell conditions are quite restrictive so that the system can be reduced to five-dimensional gauge theory along with six-dimensional abelian (2,0) tensor multiplets. We briefly discuss possible applications to D4-branes using a spacelike reduction and M5-branes using a null reduction.

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    The paper introduces a matrix toy model that inherits p-form gauge symmetry from the functional space of p-brane configurations via symmetric trace after replacing the infinite-dimensional space with finite matrices.