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arXiv · hep-th/9910268

Conformal Field Theories on K3 and Three-Dimensional Gauge Theories

P. Mayr
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Abstract

According to a recent conjecture, the moduli space of the heterotic conformal field theory on a $G\subset$ ADE singularity of an ALE space is equivalent to the moduli space of a pure $\cx N=4$ supersymmetric three-dimensional gauge theory with gauge group G. We establish this relation using geometric engineering of heterotic strings and generalize it to theories with non-trivial matter content. A similar equivalence is found between the moduli of heterotic CFT on isolated Calabi--Yau 3-fold singularities and two-dimensional Kazama-Suzuki coset theories.

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P. Mayr. 2000-04-05. Conformal Field Theories on K3 and Three-Dimensional Gauge Theories. https://doi.org/10.1088/1126-6708%2F2000%2F08%2F042

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