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

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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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Authors and Affiliations

  1. Graduate School of Mathematical Sciences, University of Tokyo, Komaba 3-8-1, Meguroku, Tokyo, 153-8914, Japan

    Shinobu Hosono & Keiji Oguiso

  2. Department of Mathematics, Brandeis University, Waltham, MA, 02154, USA

    Bong H. Lian

  3. Department of Mathematics, Harvard University, Cambridge, MA 02138, USA

    Shing-Tung Yau

Authors
  1. Shinobu Hosono
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  2. Bong H. Lian
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  3. Keiji Oguiso
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  4. Shing-Tung Yau
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Correspondence to Shinobu Hosono.

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Communicated by M.R. Douglas

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Hosono, S., Lian, B., Oguiso, K. et al. c = 2 Rational Toroidal Conformal Field Theories via the Gauss Product. Commun. Math. Phys. 241, 245–286 (2003). https://doi.org/10.1007/s00220-003-0927-0

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