1996/08/31 by Nathan Seiberg · 16 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Coulomb #Fixed point #Gauge symmetry #Gauge theory #Higgs boson #Higgs field #Moduli space #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Quark #String (physics) #Supersymmetry #hep-th
paper · pdf · doi:10.1016/s0370-2693(96)01215-4
published as Phys.Lett.B388:753-760,1996 · 13 pages, uses harvmac, one reference added
arxiv created 1996/09/03 · openalex publication_date 1996/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study (non-renormalizable) five dimensional supersymmetric field theories. The theories are parametrized by quark masses and a gauge coupling. We derive the metric on the Coulomb branch exactly. We use stringy considerations to learn about new non-trivial interacting field theories with exceptional global symmetry En (E8, E7, E6, E5=Spin(10), E4=SU(5), E3=SU(3)× SU(2), E2=SU(2)× U(1) and E1=SU(2)). Their Coulomb branch is \bf R+ and their Higgs branch is isomorphic to the moduli space of En instantons. One of the relevant operators of these theories leads to a flow to SU(2) gauge theories with Nf=n-1 flavors. In terms of these SU(2) IR theories this relevant parameter is the inverse gauge coupling constant. Other relevant operators (which become quark masses after flowing to the SU(2) theories) lead to flows between them. Upon further compactifications to four and three dimensions we find new fixed points with exceptional symmetries.