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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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AMS-TeX, 45 pages; title changed, minor errors corrected, acknowledgement added

Scientific paper

10.1007/s00220-003-0927-0

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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