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I am editing a presentation of a research project, I am wondering if there is a field for "supervisor" on the page of the title, for instance \supervisor(which actually does not work)... If not, where do people conventionally add it?

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A field like \supervisor doesn't exist in beamer. If you want to insert additional field to the titlepage you can create your own titlepage.

In other way is to use the optional argument of \author and co.

\author[<used as label>]{<used on titelpage>}
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As already mentioned by Marco Daniel, a field \supervisor does not exist in beamer. However, I would like to follow a different approach.

mregine on linux-community mentioned that you can just include the supervisors in the \author command which also lets you associate the affiliations to the supervisors. To make only your name appear in the footline, use the optional argument of the \author command. Thus, I would suggest a command like the following:

\author[author1]{author1\inst{1}\\[1ex]  {\small supervisor1\inst{1,2}}

I hope this is close to what you want.

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