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SUMMARY:Holographic description of code CFTs - Anatoly Dymarsky (U Kentuck
 y)
DTSTART:20230616T130000Z
DTEND:20230616T140000Z
UID:TALK202114@talks.cam.ac.uk
CONTACT:Jackson Fliss
DESCRIPTION:Recently\, a relation was introduced connecting codes of vario
 us types with the space of abelian (Narain) 2d CFTs. We extend this relati
 on to provide holographic description of code CFTs in terms of abelian Che
 rn-Simons theory in the bulk. For codes over the alphabet Z_p correspondin
 g bulk theory is\, schematically\, U(1)_p times U(1)_{-p} where p stands f
 or the level. Furthermore\, CFT partition function averaged over all code 
 theories for the codes of a given type is holographically given by the Che
 rn-Simons partition function summed over all possible 3d geometries. This 
 provides an explicit and controllable example of holographic correspondenc
 e where a finite ensemble of CFTs is dual to "topological/CS gravity" in t
 he bulk. The parameter p controls the size of the ensemble and "how topolo
 gical" the bulk theory is. Say\, for p=1 any given Narain CFT is described
  holographically in terms of U(1)_1^n times U(1)_{-1}^n Chern-Simons\, whi
 ch does not distinguish between different 3d geometries (and hence can be 
 evaluated on any of them). When p approaches infinity\, the ensemble of co
 de theories covers the whole Narain moduli space with the bulk theory beco
 ming "U(1)-gravity."
LOCATION:CMS MR9
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