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Constraining Maximally Supersymmetric Membrane Actions

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arxiv 0804.3078 v3 pith:HBEFPUIJ submitted 2008-04-18 hep-th

classification hep-th
keywords algebramaximallyproductsupersymmetrictripleactionsalgebrasassuming
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the recent construction of maximally supersymmetric field theory Lagrangians in three spacetime dimensions that are based on algebras with a triple product. Assuming that the algebra has a positive definite metric compatible with the triple product, we prove that the only non-trivial examples are either the well known case based on a four dimensional algebra or direct sums thereof.

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Cited by 2 Pith papers

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  1. A Matrix Theory Construction of the IIA/IIB Wall

    hep-th 2026-03 conditional novelty 6.0 of 10

    A lightlike IIA/IIB domain wall is constructed at zero string coupling by gauging (−1)^{F_L} in matrix string theory, turning BPS IIA D0-branes into non-BPS IIB D0-branes.

  2. (2,0) Lagrangian Structures

    hep-th 2019-08 conditional novelty 6.0 of 10

    A Lorentz invariant Lagrangian for the abelian (2,0) tensor supermultiplet is constructed by adding a self-dual three-form that decouples as a supersymmetry singlet, with an exploratory non-abelian generalization.

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