Conformal field theories on K3 and three-dimensional gauge theories | Zendy

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Conformal field theories on K3 and three-dimensional gauge theories

Author(s) -

Peter Mayr

Publication year - 2000

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2000/08/042

Subject(s) - heterotic string theory , moduli space , gauge theory , physics , conformal field theory , moduli , singularity , theoretical physics , gauge group , conformal map , mathematical physics , mathematics , pure mathematics , quantum mechanics , geometry

According to a recent conjecture, the moduli space of the heterotic conformalfield theory on a $G\subset$ ADE singularity of an ALE space is equivalent tothe moduli space of a pure $\cx N=4$ supersymmetric three-dimensional gaugetheory with gauge group G. We establish this relation using geometricengineering of heterotic strings and generalize it to theories with non-trivialmatter content. A similar equivalence is found between the moduli of heteroticCFT on isolated Calabi--Yau 3-fold singularities and two-dimensionalKazama-Suzuki coset theories.Comment: 11pp, harvmac, v2: a relation between heterotic CFT on Calabi-Yau 3-fold singularities and Kazama-Suzuki models has been adde

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