The equations are rather technical. In order to understand this, do you know what are the spin-statistics theorem and Noether theorem? If yes, if you additional have some quantum field theory basics, I can point you to some reference (I know, this consists in a lot of requirement ;) ).
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Sincerely, I neither know about the spin-statistics theorem nor the Noether theorem, but now that you have mentioned it, I can read up a few things about it
it is very hard to explain this because as this is quite advanced. Without prerequisite, it may be hardish. However, reading the introduction of my article and understanding it may be a nice target :)