Abelian TQFTs, codes, and holography

Abstract: In the first part, I will show how anyon condensation in 3D and 5D Abelian TQFTs naturally gives rise to both classical and quantum (error-correcting) codes, and I will then explain how codes emerge to describe the TQFT path integral on manifolds with boundary. In the second part, I will explain how 3D TQFTs can be consistently summed over all topologies, leading to a well-defined holographic dual. If time permits, I will conclude with a discussion of a mass formula that evaluates the number of topological boundary conditions from the partition function of TQFT gravity.

HEP - phenomenologyHEP - theorymathematical physics

Audience: researchers in the topic

NHETC Seminar

Series comments: Description: Weekly research seminar of the NHETC at Rutgers University

Livestream link is available on the webpage.