[PDF] The Chiral Ring of a Symmetric Orbifold and its Large N Limit-论文阅读讨论-ReadPaper

摘要

We analyze the chiral operator ring of the symmetric orbifold conformal fieldtheory on the complex two-plane. We compute the large N limit of the ring andexhibit its factorized leading order behaviour. We moreover calculate allstructure constants at the subleading and sub-subleading order. These featuresare coded as properties of the symmetric group and we review the relevantmathematical theorems on the product of conjugacy classes in the center of thegroup algebra. We illustrate the efficiency of the formalism by iterativelycomputing broad classes of higher point extremal correlators. We point outgeneralizations of our simplest of models and argue that our combinatorialanalysis is relevant to the organization of the large N perturbation theory ofgeneric symmetric orbifolds.

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