I don't really understand what one actually means when one says about doing string theory in a background independent way.

Apparently B. Sathiapalan is the only person (as far as I know from literature searching) who has been looking into it from a long time. Here is a very recent review by Sathiapalan. The introduction and conclusions of it look very nicely written.

What is background dependence in string theory and what must a background independent theory fulfill?

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    $\begingroup$ Sorry for the close vote,but I feel your question is too broad for this Q and A setup, it's not really the place due to space limitations, for a discussion forum. On the good side though, I think CuriousOne has given a succinct reply to your title question. $\endgroup$ – user81619 Sep 10 '15 at 23:08
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    $\begingroup$ @AcidJazz I thought this is the place to discuss or to understand unknown concepts/progress of physics and also I don't understand why you are saying this "question is too broad". Anyway I have already imported this question to PO.. $\endgroup$ – Physics Moron Sep 11 '15 at 6:31
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    $\begingroup$ @pinu hi, the reason I know it's not a discussion forum is because I wrote a post, pretty much like yours, and it was closed as discussion based. I was told the site was designed for one or two related concepts in a Q and A format only. Also can someone discuss in detail where...independence occur in string theory and the progress so far in this direction. is a fairly broad, in my opinion, remit. On the good side, I hope, I up voted your question yesterday, because I am interested in it & to increase the chance of another closure opinion or answer. I hope you do get an answer, seriously $\endgroup$ – user81619 Sep 11 '15 at 9:36
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    $\begingroup$ I don't think this question is too broad, it is just unluckily worded. Instead of asking for a "discussion", why not just pose the question as "What is background dependence in string theory and what must a background independent theory fulfill?"? $\endgroup$ – ACuriousMind Sep 11 '15 at 12:48
  • $\begingroup$ I understand the situation. It's all due to bad choice of words! :) Edited. $\endgroup$ – Physics Moron Sep 11 '15 at 13:07

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