there is a full (plain TeX) example and screenshots in a (non)answer
on stackexchange

http://tex.stackexchange.com/a/354485

but in brief:

\left| T \right|

has a kern between the T and the right hand | matching the kern in |T|

if tfm fonts are used in luatex or xetex or pdftex

but if Opentype Latin modern is used

xetex shows the kern but luatex has no kern once \right or \Uright are
used, but does still show the kern with |T|.

I'm not sure if this is a luatex or luaotfload issue?

David

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