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Abstract |
Recent advances indicate that a 3d gravity partition function may be dual not to a single CFT but to an
average over an ensemble of CFTs. In my talk I will discuss an explicit ensemble of CFTs deriving from
classical binary error-correcting codes. Such codes have been studied and classified by discrete
mathematicians for decades and give rise to chiral CFTs via a lattice construction. By this construction, the
average over the ensemble of error-correcting codes translates to an average over CFTs with enhanced
SU(2)^c symmetry. The averaged partition function shows some gravitational features and matches with a
Poincaré sum corresponding to a sum over bulk geometries.
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