4-3-2 8-7-6 in nLab

The talk

• Daniel Freed,

  4-3-2 8-7-6

  talk at ASPECTS of Topology Dec 2012

  pdf, pdf

discusses aspects and open problems of understanding

• 3d Chern-Simons theory←\leftarrowholographic principle→\to 2d WZW model

• 7d Chern-Simons theory←\leftarrowholographic principle→\to 6d (2,0)-supersymmetric QFT

in the context of extended TQFT.

See also

• Dan Freed, Mike Hopkins, Jacob Lurie, Constantin Teleman, Topological Quantum Field Theories from Compact Lie Groups

(Other talks at this conference include David Ben-Zvi: Loop Groups, Characters and Elliptic Curves.)

One explicit version of

• 3d Chern-Simons theory←\leftarrowholographic principle→\to 2d WZW model

is the relation Turaev-Viro model ↔\leftrightarrow Crane-Yetter model due to theorem 2 in

• John Barrett, J. Garcia-Islas, João Faria Martins, Observables in the Turaev-Viro and Crane-Yetter models, J. Math. Phys. 48:093508, 2007 (arXiv:math/0411281)