Fiber-base duality and global symmetry enhancement

DOI number:10.1007/jhep04(2015)052

Journal:Journal of High Energy Physics

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 E_{Nf+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.

Note:The preprint version is available at https://arxiv.org/abs/1411.2450

Co-author:Vladimir Mitev,Elli Pomoni,Masato Taki,Futoshi Yagi

Indexed by:SCI

Discipline:Science

Volume:04(2015)

Issue:052

Translation or Not:no

Date of Publication:2015-04-10

Included Journals:SCI

Links to published journals:https://doi.org/10.1007/jhep04(2015)052