Freidel, Krasnov and Livine hints of Sring Theory in LQG

[MTd2]

http://arxiv.org/abs/0905.3627

At VIII. Disscussion, p. 36:

"Our main result is the formula (53) for the inner product in Hj1,...,jn in terms of a holomorphic integral over the space of “shapes” parametrized by the cross-ratio coordinates Zi. In the “tetrahedral” n = 4 case there is a single cross-ratio Z. Somewhat unexpectedly, we have found that the integration kernel ˆK (Zi, ¯ Zi) is given by the n-point function of the bulk/boundary dualities of string theory , and this fact allowed to give to ˆK (Zi, ¯ Zi) an interpretation that related them to the Kahler potential on the space of “shapes”."

 

[jal]

I hope there will be discussion on this paper.
I need the help in trying to understand the math.

I put it into my blog at “How do I visualize particles?
https://www.physicsforums.com/blog.php?b=513 [Broken]

Wiki has some good visual explanations of 4-simplex and tetrahedron.
A picture is worth a thousand word!
jal