Supersymmetry Breaking, at finite temperature

Abstract

A nonperturbative symmetry that relates the weak and strong coupling regimes of a quantum theory. In a gauge theory the inversion of the coupling is accompanied by the interchange of the electric and magnetic degrees of freedom [1]. When a h-term is included in the Lagrangian there is an additional symmetry under h ! h þ 2p, and the theory is then invariant under s ! À1=s and s ! s þ 1, withand g the coupling constant. These two transformations generate the SLð2; Z Þ group, or S-duality group [2]. Examples in which it is conjectured to be a symmetry: Four dimensional N¼4 supersymmetric Yang Mills theory, where it is referred as Montonen Olive duality [3]. In string theory: symmetry of the ten dimensional Type IIB superstring theory [4], it relates the Type I and heterotic SO(32) theories [5,6,7], in four dimensions it is a symmetry of the heterotic compactified on a 6-torus [8].