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arXiv · 1411.2450

Fiber-Base Duality and Global Symmetry Enhancement

Vladimir Mitev·Elli Pomoni·Masato Taki·Futoshi Yagi
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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 $N_f\leq 7$ flavors the fiber-base symmetry together with the manifest flavor $SO(2N_f)$ symmetry generate the $E_{N_f+1}$ 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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Vladimir Mitev, Elli Pomoni, Masato Taki, Futoshi Yagi. 2014-11-10. Fiber-Base Duality and Global Symmetry Enhancement. https://doi.org/10.1007/jhep04(2015)052

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