Elliptic genera of ALE and ALF manifolds from gauged linear sigma models

Jeffrey A. Harvey, Sungjay Lee, Sameer Murthy*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

32 Citations (Scopus)


We compute the equivariant elliptic genera of several classes of ALE and ALF manifolds using localization in gauged linear sigma models. In the sigma model computation the equivariant action corresponds to chemical potentials for U(1) currents and the elliptic genera exhibit interesting pole structure as a function of the chemical potentials. We use this to decompose the answers into polar terms that exhibit wall crossing and universal terms. We compare our results to previous results on the large radius limit of the Taub-NUT elliptic genus and also discuss applications of our results to counting of BPS world-sheet spectrum of monopole strings in the 5d N=2 super Yang-Mills theory and self-dual strings in the 6d N=(2, 0) theories.
Original languageEnglish
Article number110
JournalJournal of High Energy Physics
Issue number2
Early online date17 Feb 2015
Publication statusPublished - 2015


  • Conformal Field Models in String Theory
  • Sigma Models
  • Supersymmetric gauge theory


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