Preprint 2014-32
Vladimir Mitev, Elli Pomoni, Masato Taki and Futoshi Yagi
Fiber-Base Duality and Global Symmetry Enhancement
Abstract: We show that the 5D Nekrasov partition functions enjoy the enhanced global symmetry of the UV xed point. The ber-base duality is responsible for the global symmetry
enhancement. For SU(2) with Nf \le 7 avors the ber-base symmetry together with the
manifest avor SO(2Nf ) symmetry generate the ENf+1 global symmetry, while in the higher
rank case the manifest global symmetry of the two dual theories related by the ber-base
duality map generate the symmetry enhancement. The symmetry enhancement at the level
of the partition function is manifest once we chose an appropriate reparametrization for
the Coulomb moduli.
Keywords: Gauge theory, Topological strings, CFT
Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 2014-32
61 pp.