Physical relevance of either fundamental identity generalizing Jacobi

Question

There are two fundamental identities for n-ary generalizations of the Jacobi identity. One fundamental identity is right for Nambu mechanics and such, the other for $L_{\infty}$ algebras as in CSFT. Which is physically relevant for double field theory? For fluxes?

This post imported from StackExchange MathOverflow at 2014-08-06 11:51 (UCT), posted by SE-user Jim Stasheff

Comments

I am inclined to say that questions about "physical relevance" may be off-topic for MathOverflow. But maybe I an not correctly understanding the term. Can you clarify a bit?

This post imported from StackExchange MathOverflow at 2014-08-06 11:51 (UCT), posted by SE-user Willie Wong

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I would love to read answers to this question, and might even have things to say, but as written the question is a bit opaque. Maybe you could elaborate a bit?

This post imported from StackExchange MathOverflow at 2014-08-06 11:51 (UCT), posted by SE-user Theo Johnson-Freyd