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arXiv · hep-th/9809157

A Fermionic Hodge Star Operator

Alfred Davis·Tristan Hubsch
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Abstract

A fermionic analogue of the Hodge star operation is shown to have an explicit operator representation in models with fermions, in spacetimes of any dimension. This operator realizes a conjugation (pairing) not used explicitly in field-theory, and induces a metric in the space of wave-function(al)s just as in exterior calculus. If made real (Hermitian), this induced metric turns out to be identical to the standard one constructed using Hermitian conjugation; the utility of the induced complex bilinear form remains unclear.

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Alfred Davis, Tristan Hubsch. 1998-09-21. A Fermionic Hodge Star Operator. https://doi.org/10.1142/s0217732399001036

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