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- Defect Monstrous Moonshine

The Monster CFT is a (1+1)d holomorphic CFT with the Monster group global symmetry. The symmetry twisted partition functions exhibit the celebrated Monstrous Moonshine Phenomenon. From a modern point of view, topological defects generalize the notion of global symmetries. We argue that the Monster CFT has a Kramers-Wannier duality defect that is not associated with any global symmetry. The duality defect extends the Monster group to a larger category of topological defects that contains an Ising subcategory. We introduce the defect McKay-Thompson series defined as the Monster partition function twisted by the duality defect, and find that it is invariant under the genus-zero congruence subgroup 16D0 of PSL(2,Z).

Collection/Series:

Event Type:

Seminar

Scientific Area(s):

Speaker(s):

Event Date:

Tuesday, November 26, 2019 - 14:30 to 16:00

Location:

Space Room

Room #:

400

©2012 Perimeter Institute for Theoretical Physics