Diagrams for Symmetric Product Orbifolds

Details Diagrams for Symmetric Product Orbifolds Diagrams for Symmetric Product Orbifolds

2009-05-21

arxiv.org/abs/0905.3448v2

JHEP 0910:034,2009

Physics

High Energy Physics

High Energy Physics - Theory

43 pages, 19 figures, v2: references added

Scientific paper

10.1088/1126-6708/2009/10/034

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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