So I know that the Hodge dual of a p-form [itex]A_{\mu_1 \mu_2\cdot \cdot \cdot \mu_p} [/itex] in d dimensions is given by(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

(*A)^{\nu_1 \nu_2 \cdot \cdot \cdot \nu_{d-p}} = C\epsilon^{\nu_1 \nu_2 \cdot \cdot \cdot \nu_{d-p}\mu_1 \mu_2 \cdot \cdot \cdot \mu_p}A_{\mu_1 \mu_2\cdot \cdot \cdot \mu_p}

[/tex]

where C is some number coefficient. I was wondering what the

constant C is for general p-forms in general d dimensions.

Also, what is the inverse relation? (I'm guessing it's the

same as above, but just checking.)

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# Hodge dual in tensor notation

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