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(Apologies for crossposting from Phys.SE; here I give the condensed version.)
Deligne et al., in the Sign manifesto, define a conjugation of classical super-quantities by . Most physics books use . Both say their version agrees with passage to Hermitian conjugates under quantization. Who’s wrong? (See link above for a weird third version used in Rogers’ Supermanifolds, and a substantially different fourth version used for real forms of Lie algebras.)
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