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SUMMARY:Quantum codes\, conformal field theory\, and holography - Anatoly 
 Dymarsky (University of Kentucky)
DTSTART:20210428T131500Z
DTEND:20210428T141500Z
UID:TALK158077@talks.cam.ac.uk
CONTACT:Scott Melville
DESCRIPTION:Classical error correcting codes are related to special lattic
 es\, which give rise to chiral CFTs. Recently this story was generalized t
 o non-chiral theories. In this case quantum codes give rise to Narain latt
 ices and a special family of Narain theories which we dub code CFTs. Some 
 of these code theories maximize the spectral gap\, making connection with 
 the conformal bootstrap program. From the holographic point of view\, code
  CFTs form an ensemble which provides a simplified model for the recently 
 introduced duality between ensembles of boundary theories and quantum grav
 ity in the bulk. In this talk I will first describe the mapping between qu
 antum codes and Narain theories\, and then discuss examples of optimal CFT
 s which maximize the spectral gap. In the second part of the talk I will d
 iscuss the ensemble of code theories and several lessons they presumably t
 each us about the ensemble of all Narain theories and its holographic desc
 ription.
LOCATION:ONLINE - Details to be sent by email
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