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CATEGORIES:Wednesday HEP-GR Colloquium
SUMMARY:Quantum codes\, conformal field theory\, and holog
raphy - Anatoly Dymarsky (University of Kentucky)
DTSTART;TZID=Europe/London:20210428T141500
DTEND;TZID=Europe/London:20210428T151500
UID:TALK158077AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/158077
DESCRIPTION:Classical error correcting codes are related to sp
ecial lattices\, which give rise to chiral CFTs. R
ecently this story was generalized to non-chiral t
heories. In this case quantum codes give rise to N
arain lattices and a special family of Narain theo
ries which we dub code CFTs. Some of these code th
eories maximize the spectral gap\, making connecti
on with the conformal bootstrap program. From the
holographic point of view\, code CFTs form an ense
mble which provides a simplified model for the rec
ently introduced duality between ensembles of boun
dary theories and quantum gravity in the bulk. In
this talk I will first describe the mapping betwee
n quantum codes and Narain theories\, and then dis
cuss examples of optimal CFTs which maximize the s
pectral gap. In the second part of the talk I will
discuss the ensemble of code theories and several
lessons they presumably teach us about the ensemb
le of all Narain theories and its holographic desc
ription.
LOCATION:ONLINE - Details to be sent by email
CONTACT:Scott Melville
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