Grassmann tensor network renormalization and fermionic topological quantum field theory: a new route towards quantum gravity Speaker(s): ZhengCheng Gu
Abstract: Recently, the development of tensor network renormalization approach has provided us a powerful tool to construct new classes of topological quantum field theories(TQFTs) in discrete spacetime. For example, the Turaev Viro’s states sum constructions are fixed point tensor networks representing a special class of 2+1D TQFTs. Interestingly, the Grassmann variable generalization of tensor network renormalization approach leads to new classes of TQFTs for interacting fermion systems, namely, the fermionic TQFTs. In this talk, I will start with a fermionic topological nonlinear sigma model and discuss its corresponding new mathematics  group supercohomology theory. Then I will explain the fermionic generalization of Dijkgraaf Witten gauge theory by using group supercohomology theory. Finally I will show examples beyond fermionic Dijkgraaf Witten gauge theory and discuss possible new routes towards quantum gravity.
Date: 24/04/2014  9:00 am
