Tensor networks have proven to be an extremely useful tool in examining quantum many-body systems. More recently, they have also emerged in the study of the holographic principle in quantum gravity. While these discussions and successes have referred to applying tensor networks to describe discrete lattice systems, there has been growing interest and also progress in extending these techniques to continuous quantum field theories (QFTs).
The purpose of this meeting is to discuss current research in this direction. Continuous matrix product states and continuous multi-scale entanglement renormalization ansatz (cMERA) can tackle QFTs directly, without the need to put them on the lattice. They offer a non-perturbative, wavefunctional-based, variational approach to QFT's, with a variety of potential applications, including the efficient simulation of relativistic and non-relativisitc continuous systems, and the study of their renormalization group flow. On the other hand, hyperbolic tensor networks such as MERA, the exact holographic mapping, or holographic quantum error correction codes, are currently investigated for its conjectured relation to the AdS/CFT correspondence of quantum gravity. The continuous versions of these constructions, such as the cMERA, are natural candidates to realizing the AdS/CFT correspondence more accurately.