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

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arxiv hep-th/0211230 v3 pith:QCWK5P3G submitted 2002-11-24 hep-th math.AG

Shinobu Hosono , Bong H. Lian , Keiji Oguiso , Shing-Tung Yau This is my paper · ORCID
classification hep-thmath.AG
keywords findgausslatticesproductrationalalgebrasbyproductcardinality
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abstract

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.

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Cited by 1 Pith paper

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  1. Spectral Curves with Complex Multiplication in Hermitian Matrix Models

    hep-th 2025-09 reject novelty 5.0 of 10

    The claimed j(g) formula and the associated complex multiplication coupling values are incorrect: Eq. (80) does not follow from Eqs. (78) and (79).

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