2009

Diagrams for Symmetric Product Orbifolds

Pakman, Ari, Rastelli, Leonardo, Razamat, Shlomo S.

Understand

We develop a diagrammatic language for symmetric product orbifolds of two-dimensional conformal field theories.

  • Correlation functions of twist operators are written as sums of diagrams: each diagram corresponds to a branched covering map from a surface where the fields are single-valued to the base sphere where twist operators are inserted.
  • This diagrammatic language facilitates the study of the large N limit and makes more transparent the analogy between symmetric product orbifolds and free non-abelian gauge theories.
  • We give a general algorithm to calculate the leading large N contribution to four-point correlators of twist fields.

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