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

@article{Harvey2014EllipticGO,
title={Elliptic genera of ALE and ALF manifolds from gauged linear sigma models},
author={Jeffrey A. Harvey and Sungjay Lee and S. K. Narasimha Murthy},
journal={Journal of High Energy Physics},
year={2014},
volume={2015},
pages={1-51}
}
• Published 24 June 2014
• Mathematics
• Journal of High Energy Physics
A bstractWe 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…
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