The talk
Dan Freed, 4-3-2 8-7-6,
(pdf)
talk at ASPECTS of Topology Dec 2012
discusses aspects and open problems of understanding
3d Chern-Simons theory$\leftarrow$holographic principle$\to$ 2d WZW model
7d Chern-Simons theory$\leftarrow$holographic principle$\to$ 6d (2,0)-supersymmetric QFT
in the context of extended TQFT.
See also
(Other talks at this conference include David Ben-Zvi: Loop Groups, Characters and Elliptic Curves.)
One explicit version of
is the relation Turaev-Viro model $\leftrightarrow$ Crane-Yetter model due to theorem 2 in
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