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.
The 3-Lie Algebra (2,0) Tensor Multiplet and Equations of Motion on Loop Space
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abstract
We show that a recently found set of supersymmetric equations of motion for a 3-Lie algebra-valued (2,0) tensor multiplet finds a natural interpretation as supersymmetric gauge field equations on loop space. We find that BPS solutions to these equations yield a previously proposed nonabelian extension of the selfdual string. We describe an ADHMN-like construction that allows for the explicit construction of such BPS solutions.
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A toy model for $p$-form gauge symmetry
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.