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

Shinobu Hosono·Bong H. Lian·Keiji Oguiso·Shing-Tung Yau
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Abstract

We find a concise relation between the moduli $τ, ρ$ of a rational Narain lattice $Γ(τ,ρ)$ 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.

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Shinobu Hosono, Bong H. Lian, Keiji Oguiso, Shing-Tung Yau. 2003-05-02. c=2 Rational Toroidal Conformal Field Theories via the Gauss Product. https://doi.org/10.1007/s00220-003-0927-0

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