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.
Selfdual strings and loop space Nahm equations
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abstract
We give two independent arguments why the classical membrane fields should be loops. The first argument comes from how we may construct selfdual strings in the M5 brane from a loop space version of the Nahm equations. The second argument is that there appears to be no infinite set of finite-dimensional Lie algebras (such as $su(N)$ for any $N$) that satisfies the algebraic structure of the membrane theory.
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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.