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18/01/2016 Coefficients of Seed Conformal Blocks in 4D CFT (primal and dual)
The explicit form of the coefficients entering the conformal blocks given in eq.(5.36) of arXiv:1601.05325 for p=1, 2, 3, 4, 6 and 8 (see this paper for further details and definitions) can be downloaded here as separate files (with no file extension). They are written in Mathematica input format and can be open in any text editor or loaded directly into a Mathematica notebook. To do that one should save the notebook and the files in the same directory and use the commands:
SetDirectory[NotebookDirectory[]];
<<"coefficientsP1";
The above code makes the content of the file coefficientsP1 available as a variable called coefficientsP1 containing all the as a list. The coefficients entering the dual conformal blocks in eq.(5.37) can easily be obtained from the coefficients by using eq.(5.38). For convenience we have also added them to the folder "Dual Coefficients" for p=1, 2, 3 and 4.
For any use of these files please cite the paper:
Alejandro Castedo Echeverri, Emtinan Elkhidir, Denis Karateev, Marco Serone,
"Seed Conformal Blocks in 4D CFT",
Warning: the size of the p=8 coefficients is very big! It requires at least 8 GB of RAM and takes around 10-15min to load them into a Mathematica notebook. Notice, that in practice one usually specifies the values of "a" and "b" (parameters reflecting external spins in the 4-point function of interest, see eq.(2.18) for precise definition), in that case the complexity of the coefficients (and therefore the size of the file) drops significantly.
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