PIRSA:19110040 Scientific Series Quantum Fields and Strings

DOI10.48660/19110040

Series: Quantum Fields and Strings

Shao, S. (2019). Defect Monstrous Moonshine. Perimeter Institute. https://pirsa.org/19110040

Shao, Shu-Heng. Defect Monstrous Moonshine. Perimeter Institute, Nov. 26, 2019, https://pirsa.org/19110040 

@misc{ pirsa_PIRSA:19110040,
  doi = {10.48660/19110040},
  url = {https://pirsa.org/19110040},
  author = {Shao, Shu-Heng},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {Defect Monstrous Moonshine},
  publisher = {Perimeter Institute},
  year = {2019},
  month = {nov},
  note = {PIRSA:19110040 see, \url{https://pirsa.org}}
}

Abstract

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).

Resources

Next talk

Related Talks