English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
Add to Basket
  Local TagsRelease HistoryDetailsSummary

Released
Journal Article

Second Quantized Mathieu Moonshine

MPS-Authors
/persons/resource/persons39398

Volpato,  Roberto
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

1312.0622.pdf
(Preprint), 2MB

Supplementary Material (public)
There is no public supplementary material available
Citation

Persson, D., & Volpato, R. (2014). Second Quantized Mathieu Moonshine. Communications in Number Theory and Physics, 8(3), 403-509. doi:10.4310/CNTP.2014.v8.n3.a2.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0014-BF13-4
Abstract
We study the second quantized version of the twisted twining genera of generalized Mathieu moonshine, and verify that they give rise to Siegel modular forms with infinite product representations. Most of these forms are expected to have an interpretation as twisted partition functions counting 1/4 BPS dyons in type II superstring theory on K3\times T^2 or in heterotic CHL-models. We show that all these Siegel modular forms, independently of their possible physical interpretation, satisfy an "S-duality" transformation and a "wall-crossing formula". The latter reproduces all the eta-products of an older version of generalized Mathieu moonshine proposed by Mason in the '90s. Surprisingly, some of the Siegel modular forms we find coincide with the multiplicative (Borcherds) lifts of Jacobi forms in umbral moonshine.