Tensor Networks and TQFTs


Gu, Z. (2011). Tensor Networks and TQFTs. Perimeter Institute. https://pirsa.org/11100094


Gu, Zheng-Cheng. Tensor Networks and TQFTs. Perimeter Institute, Oct. 24, 2011, https://pirsa.org/11100094


          @misc{ pirsa_PIRSA:11100094,
            doi = {10.48660/11100094},
            url = {https://pirsa.org/11100094},
            author = {Gu, Zheng-Cheng},
            keywords = {},
            language = {en},
            title = {Tensor Networks and TQFTs},
            publisher = {Perimeter Institute},
            year = {2011},
            month = {oct},
            note = {PIRSA:11100094 see, \url{https://pirsa.org}}

Zheng-Cheng Gu Chinese University of Hong Kong


In this talk, I will present a first principle construction of a holographic dual for gauged matrix models that include gauge theories. The dual theory is shown to be a closed string field theory coupled with an emergent two-form gauge field defined in one higher dimensional space. The bulk space with an extra dimension emerges as a well defined classical background only when the two-form gauge field is in the deconfinement phase. Based on this, it is shown that critical phases that admit holographic descriptions form a novel universality class with a non-trivial quantum order.