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SUMMARY:Imposter partition functions - Rohit Kalloor\, Weizmann
DTSTART:20221201T130000Z
DTEND:20221201T140000Z
UID:TALK184286@talks.cam.ac.uk
CONTACT:85816
DESCRIPTION:Recently introduced connections between quantum codes and cert
 ain Narain CFT's let us write the partition functions of these CFT's in te
 rms of objects that arise naturally from codes -- the so-called `enumerato
 r polynomials'.  The recipe involved makes it easy to write down other mod
 ular-invariant functions that have an expansion in terms of u(1) character
 s (with positive integer coefficients)\; such functions are solutions to t
 he modular bootstrap. However\, we show that they cannot arise as partitio
 n functions of any 2d (unitary) CFT. That is\, for these spectra\, one can
 not find a set of OPE coefficients consistent with crossing\; but modular 
 bootstrap constraints are not enough to rule them out. We consider only th
 e simplest examples\, keeping in mind that many more can be constructed.
LOCATION:Potter Room\, DAMTP
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