We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Averaging over codes and an SU(2) modular bootstrap.
- Authors
Henriksson, Johan; McPeak, Brian
- 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 + 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.
- Subjects
ERROR-correcting codes; PARTITION functions; SYMMETRY groups; DISCRETE symmetries; MODULAR forms; C*-algebras; SYMMETRY
- Publication
Journal of High Energy Physics, 2023, Vol 2023, Issue 11, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP11(2023)035