The default standard
analyzer will tokenize a string like that so that "PDF" and "A" are separate tokens. The "A" token might get cut out by the stop token filter (See Standard Analyzer). So without any custom analyzers, you will typically get any documents with just "PDF".
You can try creating your own analyzer modeled off the standard
analyzer that includes a Mapping Char Filter. The idea would that "PDF/A" might get transformed into something like "pdf_a" at index and query time. A simple match query will work just fine. But this is a very simplistic approach and you might want to consider how '/' characters are used in your content and use slightly more complex regex filters which are also not perfect solutions.
Sorry, I completely missed your point about having to escape the character. Can you elaborate on your use case if this turns out to not be helpful at all?