# Talk 16 - Toward random tensor networks and holographic codes in CFT

### APA

Namburi, J.C. (2023). Talk 16 - Toward random tensor networks and holographic codes in CFT. Perimeter Institute. https://pirsa.org/23080004

### MLA

Namburi, Jeevan Chandra. Talk 16 - Toward random tensor networks and holographic codes in CFT. Perimeter Institute, Aug. 01, 2023, https://pirsa.org/23080004

### BibTex

@misc{ pirsa_PIRSA:23080004, doi = {10.48660/23080004}, url = {https://pirsa.org/23080004}, author = {Namburi, Jeevan Chandra}, keywords = {Quantum Fields and Strings, Quantum Information, Quantum Foundations}, language = {en}, title = {Talk 16 - Toward random tensor networks and holographic codes in CFT}, publisher = {Perimeter Institute}, year = {2023}, month = {aug}, note = {PIRSA:23080004 see, \url{https://pirsa.org}} }

Cornell University

**Collection**

Talk Type

Abstract

In holographic CFTs satisfying eigenstate thermalization, there is a regime where the operator product expansion can be approximated by a random tensor network. The geometry of the tensor network corresponds to a spatial slice in the holographic dual, with the tensors discretizing the radial direction. In spherically symmetric states in any dimension and more general states in 2d CFT, this leads to a holographic error-correcting code, defined in terms of OPE data, that can be systematically corrected beyond the random tensor approximation. The code is shown to be isometric for light operators outside the horizon, and non-isometric inside, as expected from general arguments about bulk reconstruction. The transition at the horizon occurs due to a subtle breakdown of the Virasoro identity block approximation in states with a complex interior.