Conformal Field Theories on K3 and Three-Dimensional Gauge Theories

Details Conformal Field Theories on K3 and Three-Dimensional Gauge Theories Conformal Field Theories on K3 and Three-Dimensional Gauge Theories

1999-11-01

arxiv.org/abs/hep-th/9910268v2

JHEP 0008 (2000) 042

Physics

High Energy Physics

High Energy Physics - Theory

11pp, harvmac, v2: a relation between heterotic CFT on Calabi-Yau 3-fold singularities and Kazama-Suzuki models has been added

Scientific paper

10.1088/1126-6708/2000/08/042

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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