Extremal correlators and Hurwitz numbers in symmetric product orbifolds

Ari Pakman, Leonardo Rastelli, Shlomo S. Razamat

Research output: Contribution to journalArticlepeer-review

61 Scopus citations

Abstract

We study correlation functions of single-cycle chiral operators in SymNT4, the symmetric product orbifold of N supersymmetric four-tori. Correlators of twist operators are evaluated on covering surfaces, generally of different genera, where fields are single valued. We compute some simple four-point functions and study how the sum over inequivalent branched covering maps splits under operator product expansions. We then discuss extremal n-point correlators, i.e. correlators of n-1 chiral and one antichiral operators. They obey simple recursion relations involving numbers obtained from counting branched covering maps with particular properties. In most cases we are able to solve explicitly the recursion relations. Remarkably, extremal correlators turn out to be equal to Hurwitz numbers.

Original languageEnglish
Article number086009
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume80
Issue number8
DOIs
StatePublished - 23 Oct 2009
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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