2018/10/02 by Santiago Cabrera, Amihay Hanany, Futoshi Yagi · 4 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Brane #Gauge theory #Higgs boson #Higgs field #Magnetic monopole #Moduli space #Nilpotent #Quantum Chromodynamics and Particle Interactions #Supersymmetric gauge theory #Supersymmetry #hep-th
paper · pdf · doi:10.1007/jhep01(2019)068
49 pages
arxiv created 2018/10/02 · openalex created_date 2018/10/12 · openalex publication_date 2019/01/01 · arxiv updated 2019/01/30 · openalex updated_date 2026/08/05
A bstract Superconformal five dimensional theories have a rich structure of phases and brane webs play a crucial role in studying their properties. This paper is devoted to the study of a three parameter family of SQCD theories, given by the number of colors N c for an SU N c gauge theory, number of fundamental flavors N f , and the Chern Simons level k . The study of their infinite coupling Higgs branch is a long standing problem and reveals a rich pattern of moduli spaces, depending on the 3 values in a critical way. For a generic choice of the parameters we find a surprising number of 3 different components, with intersections that are closures of height 2 nilpotent orbits of the flavor symmetry. This is in contrast to previous studies where except for one case ( N c = 2 , N f = 2), the parameters were restricted to the cases of Higgs branches that have only one component. The new feature is achieved thanks to a concept in tropical geometry which is called stable intersection and allows for a computation of the Higgs branch to almost all the cases which were previously unknown for this three parameter family apart form certain small number of exceptional theories with low rank gauge group. A crucial feature in the construction of the Higgs branch is the notion of dressed monopole operators .