Supersymmetric Index Of Three-Dimensional Gauge Theory
نویسنده
چکیده
In N = 1 super Yang-Mills theory in three spacetime dimensions, with a simple gauge group G and a Chern-Simons interaction of level k, the supersymmetric index Tr (−1)F can be computed by making a relation to a pure Chern-Simons theory or microscopically by an explicit Born-Oppenheimer calculation on a two-torus. The result shows that supersymmetry is unbroken if |k| ≥ h/2 (with h the dual Coxeter number of G) and suggests that dynamical supersymmetry breaking occurs for |k| < h/2. The theories with large |k| are massive gauge theories whose universality class is not fully described by the standard criteria.
منابع مشابه
Supersymmetric Index In Four-Dimensional Gauge Theories
This paper is devoted to a systematic discussion of the supersymmetric index Tr (−1) for the minimal supersymmetric Yang-Mills theory – with any simple gauge group G – primarily in four spacetime dimensions. The index has refinements that probe confinement and oblique confinement and the possible spontaneous breaking of chiral symmetry and of global symmetries, such as charge conjugation, that ...
متن کاملOn Four-Dimensional Gauge Theories from Type II Superstrings
We study the four-dimensional gauge theories which are associated with classical vacua of the type II superstring, i.e. which correspond to a superconformal field theory on the world sheet. Using the fact that gauge symmetry arises from a supersymmetric affine Kac-Moody algebra, and demanding unitarity of the underlying world-sheet field theory, we show that no such vacua can yield the particle...
متن کاملSupersymmetric quiver gauge theories on the lattice
In this paper we detail the lattice constructions of several classes of supersymmetric quiver gauge theories in two and three Euclidean spacetime dimensions possessing exact supersymmetry at finite lattice spacing. Such constructions are obtained through the methods of topological twisting and geometric discretization of Euclidean Yang-Mills theories with eight and sixteen supercharges in two a...
متن کاملDimensional Reduction of ten - dimensional Supersymmetric Gauge Theories in the N = 1 , D = 4 Superfield Formalism
A ten-dimensional supersymmetric gauge theory is written in terms of N = 1, D = 4 superfields. The theory is dimensionally reduced over six-dimensional coset spaces. We find that the resulting four-dimensional theory is either a softly broken N = 1 supersymmetric gauge theory or a non-supersymmetric gauge theory depending on whether the coset spaces used in the reduction are non-symmetric or sy...
متن کاملClassification of Supersymmetric Lattice Gauge Theories by Orbifolding
We provide a general classification of supersymmetric lattice gauge theories that can be obtained from orbifolding of theories with four and eight supercharges. We impose at least one preserved supercharge on the lattice and Lorentz invariance in the naive continuum limit. Starting with four supercharges, we obtain one two-dimensional lattice gauge theory, identical to the one already given in ...
متن کامل