Five Dimensional SUSY Field Theories, Non-trivial Fixed Points and String Dynamics

Nathan Seiberg

doi:10.1016/S0370-2693(96)01215-4

paper

Five Dimensional SUSY Field Theories, Non-trivial Fixed Points and String Dynamics

arXiv:hep-th/9608111 · doi:10.1016/S0370-2693(96)01215-4

Abstract

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 $E_{n}$ ( $E_{8}$ , $E_{7}$ , $E_{6}$ , $E_{5} = S p in (10)$ , $E_{4} = S U (5)$ , $E_{3} = S U (3) \times S U (2)$ , $E_{2} = S U (2) \times U (1)$ and $E_{1} = S U (2)$ ). Their Coulomb branch is $R^{+}$ and their Higgs branch is isomorphic to the moduli space of $E_{n}$ instantons. One of the relevant operators of these theories leads to a flow to $S U (2)$ gauge theories with $N_{f} = n - 1$ flavors. In terms of these $S U (2)$ IR theories this relevant parameter is the inverse gauge coupling constant. Other relevant operators (which become quark masses after flowing to the $S U (2)$ theories) lead to flows between them. Upon further compactifications to four and three dimensions we find new fixed points with exceptional symmetries.

13 pages, uses harvmac, one reference added

Five Dimensional SUSY Field Theories, Non-trivial Fixed Points and String Dynamics

Abstract

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