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SUMMARY:Monster Anatomy
DTSTART;VALUE=DATE-TIME:20200916T060000Z
DTEND;VALUE=DATE-TIME:20200916T070000Z
DTSTAMP;VALUE=DATE-TIME:20200921T133725Z
UID:indico-event-371@cern.ch
DESCRIPTION:The monster sporadic group is the automorphism group of a cent
ral charge c=24 chiral conformal field theory (CFT). In addition to its c=
24 stress tensor T(z)\, this theory contains many other conformal vectors
of smaller central charge\; for example\, it admits 48 commuting c=12 conf
ormal vectors whose sum is T(z). Such decompositions of the stress tensor
allow one to construct new CFTs from the monster CFT in a manner analogous
to the Goddard-Kent-Olive (GKO) coset method for affine Lie algebras. We
use this procedure to produce the first evidence for the existence of a nu
mber of CFTs with sporadic symmetry groups. To this end\, we employ a vari
ety of techniques\, including Hecke operators\, modular linear differentia
l equations\, and Rademacher sums\, to compute the characters of these CFT
s. Our examples include (extensions of) nine of the sporadic groups appear
ing as subquotients of the monster\, as well as the simple groups 2E6(2) a
nd F4(2) of Lie type.\n\nhttps://indico.ibs.re.kr/event/371/
LOCATION: On-line seminar
URL:https://indico.ibs.re.kr/event/371/
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