Mon, 12 Jun 2023
14:15
L1

Holographic description of code CFTs

Anatoly Dymarsky
(Kentucky)
Abstract

Recently, a relation was introduced connecting codes of various types with the space of abelian (Narain) 2d CFTs. We extend this relation to provide holographic description of code CFTs in terms of abelian 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 codes of a given type is holographically given by the Chern-Simons partition function summed over all possible 3d geometries. This provides an explicit and controllable example of holographic correspondence 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 topological" 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, which does not distinguish between different 3d geometries (and hence can be evaluated on any of them). When p approaches infinity, the ensemble of code theories covers the whole Narain moduli space with the bulk theory becoming "U(1)-gravity" proposed by Maloney-Witten and Afkhami-Jeddi et al.

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You are invited to join us for CAT - a Physics un-play and art-piece by Artist in Residence to Oxford Physics Pamela Davis Kivelson.

Come to the Quantum Simulation located in the theatre in Oxford’s Beecroft Building, Department of Physics.

If you are interested in portraiture, climate change, women in science and technology, this may be your chance to have a very unique experience in the Quantum future.

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Jesus, Trinity and Wadham Colleges are running a Women in Sciences Day for aspiring young scientists who are female/non-binary and attend UK state schools. This will be held on the 23rd June.

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