Branes, Strings, and Odd Quantum Nambu Brackets

The dynamics of topological open branes is controlled by Nambu Brackets. Thus, they might be quantized through the consistent quantization of the underlying Nambu brackets, including odd ones: these are reachable systematically from even brackets, whose more tractable properties have been detailed before. The classical motion of topological open membranes is controlled by Nambu Brackets, the multilinear generalization of Poisson Brackets. 1 We have addressed even branes before, in Refs 2, 3, 4, but not odd ones, treated here, essentialy by reduction to even ones, in a parallel solution of the problem. Consider the " vortex string " 2-form action,