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Faceted navigation does not display when using the (v13+) modern UI default template with Internet Explorer when compatibility mode is enabled.
The facets will display correctly if compatibility mode is disabled.
There is a meta tag
<!--[if IE]><meta http-equiv="X-UA-Compatible" content="IE=edge"><![endif]-->
designed to overcome this but it doesn't work when set as a metadata field.
However it does work if you set this via HTTP headers.
Add the following lines to your
ui.modern.form.simple.headers.count=1 ui.modern.form.simple.headers.1=X-UA-Compatible: IE=edge,chrome=1
then save the file. The change should apply as soon as the file is saved.