The article's goal is to classify CFTs whose chiral algebra has two characters and whose Wronskian has a certain number of zeroes (l/6=1 in the authors' notation). The starting point is a classification (that was done in previous articles by the authors' and by others) of pairs of admissible characters, i.e. such that their Fourier coefficients are non-negative integers. It is proposed that all (or most) pairs of such admissible characters might correspond to RCFTs obtained by taking cosets of some meromorphic CFT of central charge c=32.
The approach is original and innovative. The methods described here might potentially lead to the discovery of several new RCFT at central charge c>24.
Regarding the clarity of the manuscript, my main concern is that the article is heavily based on results obtained in previous recent articles, and that are not really reviewed, explained or motivated in the present manuscript. This makes the article very difficult to understand even for a reader with a good background in CFT. In particular, for this reason, I was not able to verify that all the authors' statements are correct.
I suggest the authors to add a couple of pages (either in an appendix, or even better as an introductory section), where they review the main results in the references (in particular, reference ) that they use in this paper. Once this is done (and provided that the derivations in the article are correct), I think that the manuscript deserves to be published.