What has come to be called the “3d toric code” is a 4d TQFT (i.e. with 3 spatial dimensions, whence the name) which is the higher-dimensional analog of the 3d TQFT known as the *toric code?*.

The model is due to:

- Alioscia Hamma, Paolo Zanardi, Xiao-Gang Wen,
*String and Membrane condensation on 3D lattices*, Phys. Rev. B72:035307, 2005 (arXiv:cond-mat/0411752, doi:10.1103/PhysRevB.72.035307)

Further discussion of defects in the model (such as defect strings):

- Liang Kong, Yin Tian, Zhi-Hao Zhang,
*Defects in the 3-dimensional toric code model form a braided fusion 2-category*, J. High Energ. Phys. 2020, 78 (2020) (arXiv:2009.06564, doi:10.1007/JHEP12(2020)078)

Created on December 24, 2021 at 16:01:19. See the history of this page for a list of all contributions to it.