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I am trying to create my own beamer theme and wish to create a right sidebar having the same hight as the slides. Unfortunately this is not the case.

\useoutertheme[right]{sidebar}

\setbeamercolor{sidebar right}{bg=lightgray, fg=black}

\setbeamersize{sidebar width right=1.8cm}

\usetheme[hideothersubsections]{}

Do you have any idea of how I can do it ?

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The sidebar outer theme has a documented height option:

height=⟨dimension⟩ specifies the height of the frame title rectangle. If it is set to 0pt, no frame title rectangle is created. Instead, the frame title is inserted normally into the frame.

Thus, you can just provide a 0pt value for this option:

\useoutertheme[right, height=0pt]{sidebar}

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