Ami Hanany

December 25, 2018 @ 10:30 am – 11:30 am
tropical Geometry, Five Brane Webs, and Higgs branches in five dimensions This talks reviews the recent exciting results on Higgs branches in five dimensions – a long standing problem of at least 20 years. After a long period of neglect, the structure which arises from Higgs branches turns out to be surprising, rich, and full of new physics phenomena. We study a three parameter family of N=1 supersymmetric SQCD theories in five dimensions, given by the number of colors Nc, number of flavors Nf, and Chern-Simons level k. The theory has several dimension 1 scales, given by masses and inverse gauge coupling. When all scales are set to zero, at a UV fixed point, the SCFT which arises at the origin of the Coulomb branch has a particular structure of chiral operators which form a ring on the Higgs branch. The Higgs branch at finite coupling gets larger, and an effective description of the Higgs branch at infinite coupling in best described by quivers using dressed monopole operators. Of course five brane webs play a central role and lead to a beautiful picture which derives and tests these new results!

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