Localization of Gauged Linear Sigma Model for KK5-branes
arXiv:2011.06919 · doi:10.1093/ptep/ptab031
Abstract
We study quantum aspects of the target space of the non-linear sigma model which is a low-energy effective theory of the gauged linear sigma model (GLSM). As such, we especially compute the exact sphere partition function of GLSM for KK-branes whose background geometry is a Taub-NUT space, using the supersymmetric localization technique on the Coulomb branch. From the sphere partition function, we distill the world-sheet instanton effects. In particular, we show that concerning the single-centered Taub-NUT space, the instanton contributions exist only if the asymptotic radius of the fiber in the Taub-NUT space is zero.
arXiv comment33 pages, multi-centered case corrected, appendix F added, typos corrected, matching version to be published in PTEP
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