Tensor networks as path integral geometry

Understand

In the context of a quantum critical spin chain whose low energy physics corresponds to a conformal field theory (CFT), it was recently demonstrated [A.

• Milsted G.
• Vidal, arXiv:1805.12524] that certain classes of tensor networks used for numerically describing the ground state of the spin chain can also be used to implement (discrete, approximate versions of) conformal transformations on the lattice.
• In the continuum, the same conformal transformations can be implemented through a CFT path integral on some curved spacetime.