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- W4320341230 abstract "Error-correcting codes are known to define chiral 2d lattice CFTs where all the $U(1)$ symmetries are enhanced to $SU(2)$. In this paper, we extend this construction to a broader class of length-$n$ codes which define full (non-chiral) CFTs with $SU(2)^n$ symmetry, where $n=c+bar c$. We show that codes give a natural discrete ensemble of 2d theories in which one can compute averaged observables. The partition functions obtained from averaging over all codes weighted equally is found to be given by the sum over modular images of the vacuum character of the full extended symmetry group, and in this case the number of modular images is finite. This averaged partition function has a large gap, scaling linearly with $n$, in primaries of the full $SU(2)^n$ symmetry group. Using the sum over modular images, we conjecture the form of the genus-2 partition function. This exhibits the connected contributions to disconnected boundaries characteristic of wormhole solutions in a bulk dual." @default.
- W4320341230 created "2023-02-13" @default.
- W4320341230 creator A5023867111 @default.
- W4320341230 creator A5084007535 @default.
- W4320341230 date "2022-08-30" @default.
- W4320341230 modified "2023-09-23" @default.
- W4320341230 title "Averaging over codes and an $SU(2)$ modular bootstrap" @default.
- W4320341230 doi "https://doi.org/10.48550/arxiv.2208.14457" @default.
- W4320341230 hasPublicationYear "2022" @default.
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