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arxiv: 1709.05355 · v2 · pith:EEOQJNRUnew · submitted 2017-09-15 · ✦ hep-th · math.AG

Conformal field theories and compact curves in moduli spaces

classification ✦ hep-th math.AG
keywords compactconformalfieldmodulitheoriescurvesdimensionsfour
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We show that there are many compact subsets of the moduli space $M_g$ of Riemann surfaces of genus $g$ that do not intersect any symmetry locus. This has interesting implications for $\mathcal{N}=2$ supersymmetric conformal field theories in four dimensions.

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