In our new publication in the Journal of Physics A: Mathematical and Theoretical, we point an novel relationships between infinite-dimensional holographic codes - written as asymptotic limits of tensor networks - and the theory of operator algebras following von Neumann. This collaboration of physicists and mathematicians between Caltech and the University of Pennsylvania and our group in Berlin both illuminates the algebraic structure of holographic tensor networks and develops practical models in which the emergence of so-called type II factors can be studied, generalizing the simple Araki-Woods construction. Physically, it also sharpens the idea that the entanglement of gravitational degrees of freedom in holography, which is often associated with the algebras acting on the tensor network states that we study here, have a fundamental type II form.

Link to publication: https://iopscience.iop.org/article/10.1088/1751-8121/ae0edd