Abstract
We show that the 5D Nekrasov partition functions enjoy the enhanced global symmetry of the UV fixed point. The fiber-base duality is responsible for the global symmetry enhancement. For SU(2) with N f ≤ 7 flavors the fiber-base symmetry together with the manifest flavor SO(2N f ) symmetry generate the \( {\mathrm{E}}_{N_{f+1}} \) global symmetry, while in the higher rank case the manifest global symmetry of the two dual theories related by the fiber-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.
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Mitev, V., Pomoni, E., Taki, M. et al. Fiber-base duality and global symmetry enhancement. J. High Energ. Phys. 2015, 52 (2015). https://doi.org/10.1007/JHEP04(2015)052
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DOI: https://doi.org/10.1007/JHEP04(2015)052