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CATEGORIES:Quantum Fields and Strings Seminars
SUMMARY:Holographic description of code CFTs - Anatoly Dym
arsky (U Kentucky)
DTSTART;TZID=Europe/London:20230616T140000
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UID:TALK202114AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/202114
DESCRIPTION:Recently\, a relation was introduced connecting co
des of various types with the space of abelian (Na
rain) 2d CFTs. We extend this relation to provide
holographic description of code CFTs in terms of a
belian Chern-Simons theory in the bulk. For codes
over the alphabet Z_p corresponding bulk theory is
\, schematically\, U(1)_p times U(1)_{-p} where p
stands for the level. Furthermore\, CFT partition
function averaged over all code theories for the c
odes of a given type is holographically given by t
he Chern-Simons partition function summed over all
possible 3d geometries. This provides an explicit
and controllable example of holographic correspon
dence where a finite ensemble of CFTs is dual to "
topological/CS gravity" in the bulk. The parameter
p controls the size of the ensemble and "how topo
logical" the bulk theory is. Say\, for p=1 any giv
en Narain CFT is described holographically in term
s of U(1)_1^n times U(1)_{-1}^n Chern-Simons\, whi
ch does not distinguish between different 3d geome
tries (and hence can be evaluated on any of them).
When p approaches infinity\, the ensemble of code
theories covers the whole Narain moduli space wit
h the bulk theory becoming "U(1)-gravity."
LOCATION:CMS MR9
CONTACT:Jackson Fliss
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