C=2 Rational Toroidal Conformal Field Theories via the Gauss Product

Shinobu Hosono University of Tokyo Bong H. Lian Brandeis University Keiji Oguiso University of Tokyo Shing-Tung Yau Harvard University

Metric Geometry mathscidoc:1608.23001

Communications in Mathematical Physics , 241, 245-286, 2003
We find a concise relation between the moduli $\tau , \rho$ of a rational Narain lattice $\Gamma (\tau, \rho)$ and the corresponding momentum lattices of left and right chiral algebras via the Gauss product. As a byproduct, we find an identity which counts the cardinality of a certain double coset space defined for isometries between the discriminant forms of rank two lattices.
rational Narain lattice, Toroidal Conformal Field, Gauss Product
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@inproceedings{shinobu2003c=2,
  title={c=2 Rational Toroidal Conformal Field Theories via the Gauss Product},
  author={Shinobu Hosono, Bong H. Lian, Keiji Oguiso, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160828164315430432489},
  booktitle={Communications in Mathematical Physics },
  volume={241},
  pages={245-286},
  year={2003},
}
Shinobu Hosono, Bong H. Lian, Keiji Oguiso, and Shing-Tung Yau. c=2 Rational Toroidal Conformal Field Theories via the Gauss Product. 2003. Vol. 241. In Communications in Mathematical Physics . pp.245-286. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160828164315430432489.
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