The holographic map as a conditional expectation

PIRSA ID: 20110065
Event Type: Seminar
Domaine(s) scientifique(s) :
Quantum Fields and Strings
Date de fin :
Speaker(s):
  • Thomas Faulkner, Massachusetts Institute of Technology (MIT)

I will study quantum error correcting codes that model aspects of the AdS/CFT correspondence. In an algebraic approach I will demonstrate the existence of a consistent assignment, to each boundary region, of conditional expectations that preserve the code subspace. This allows us to give simple derivations of well known results for these holographic code, and also to derive a few new results. 

I will also make a connection to the theory of QFT super-selection sectors.