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arXiv · 2103.02799

6d/5d exceptional gauge theories from web diagrams

Hirotaka Hayashi·Hee-Cheol Kim·Kantaro Ohmori
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Abstract

We construct novel web diagrams with a trivalent or quadrivalent gluing for various 6d/5d theories from certain Higgsings of 6d conformal matter theories on a circle. The theories realized on the web diagrams include 5d Kaluza-Klein theories from circle compactifications of the 6d $G_2$ gauge theory with 4 flavors, the 6d $F_4$ gauge theory with 3 flavors, the 6d $E_6$ gauge theory with 4 flavors and the 6d $E_7$ gauge theory with 3 flavors. The Higgsings also give rise to 5d Kaluza-Klein theories from twisted compactifications of 6d theories including the 5d pure SU(3) gauge theory with the Chern-Simons level 9 and the 5d pure SU(4) gauge theory with the Chern-Simons level 8. We also compute the Nekrasov partition functions of the theories by applying the topological vertex formalism to the newly obtained web diagrams.

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Hirotaka Hayashi, Hee-Cheol Kim, Kantaro Ohmori. 2021-03-04. 6d/5d exceptional gauge theories from web diagrams. https://doi.org/10.1007/jhep07(2021)128

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