PIRSA:15040124 Conference Quantum Fields and Strings

DOI10.48660/15040124

Conference/School: (Mock) Modularity, Moonshine and String Theory

Volpato, R. (2015). Fricke S-duality in CHL models. Perimeter Institute. https://pirsa.org/15040124

Volpato, Roberto. Fricke S-duality in CHL models. Perimeter Institute, Apr. 14, 2015, https://pirsa.org/15040124 

@misc{ pirsa_PIRSA:15040124,
  doi = {10.48660/15040124},
  url = {https://pirsa.org/15040124},
  author = {Volpato, Roberto},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {Fricke S-duality in CHL models},
  publisher = {Perimeter Institute},
  year = {2015},
  month = {apr},
  note = {PIRSA:15040124 see, \url{https://pirsa.org}}
}

Abstract

We consider dual pairs of four dimensional heterotic/type IIA CHL models with 16 space-time supersymmetries. We provide strong evidence for the existence of an S-duality acting on the heterotic axion-dilaton by a Fricke involution S --> -1/NS, where N is the order of the orbifold symmetry. While most models are self-dual, in some cases S-duality relates the CHL model to a compactification of type IIA on an orbifold of T^6. We provide a simple criterion to determine whether a model is self-dual or not. Finally, we argue that in self-dual CHL models the lattices of electric and magnetic charges must be N-modular and verify this prediction.

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