In Chrome, you are supposed to be able to allow this capability with a runtime flag --allow-file-access-from-files
However, it looks like there is a problem with current versions of Chrome (37, 38) where this doesn't work unless you also pass the runtime flag --disable-web-security
That's an unacceptable solution, except perhaps as a short-term workaround, but it has been identified as an issue: https://code.google.com/p/chromium/issues/detail?id=379206