The excitation-detector principle is equivalent to perfectness of the quadratic form on the excitation module, which is necessary and conjectured sufficient for the compactified 2D theory to be modular.
Weibel, The K-book: An Introduction to Algebraic K-theory, Graduate Studies in Mathematics (Ameri- can Mathematical Society, 2013)
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Excitation-detector principle and the algebraic theory of planon-only abelian fracton orders
The excitation-detector principle is equivalent to perfectness of the quadratic form on the excitation module, which is necessary and conjectured sufficient for the compactified 2D theory to be modular.