Dynamics of $SU(N)$ Supersymmetric Gauge Theory
Abstract
We study the physics of the Seiberg-Witten and Argyres-Faraggi-Klemm-Lerche-Theisen-Yankielowicz solutions of , and supersymmetric gauge theory. The theory is confining and its effective Lagrangian is a spontaneously broken abelian gauge theory. We identify some features of its physics which see this internal structure, including a spectrum of different string tensions. We discuss the limit , identify a scaling regime in which instanton and monopole effects survive, and give exact results for the crossover from weak to strong coupling along a scaling trajectory. We find a large hierarchy of mass scales in the scaling regime, including very light bosons, and the absence of weak coupling. The light 's leave a novel imprint on the effective dual magnetic theory. The effective Lagrangian appears to be inadequate to understand the conventional large limit of the confining theory.
Keywords
Cite
@article{arxiv.hep-th/9503163,
title = {Dynamics of $SU(N)$ Supersymmetric Gauge Theory},
author = {Michael R. Douglas and Stephen H. Shenker},
journal= {arXiv preprint arXiv:hep-th/9503163},
year = {2017}
}
Comments
28 pages, harvmac, 4 eps figures in separate uuencoded file. We have extended this paper considerably, adding new results, discussion and figures. In particular, we give exact formulas for masses and couplings along a scaling trajectory appropriate to the large $N$ limit. These formulas display a novel effect due to light electric $W$ bosons down to energy scales $\sim e^{-N}$, deep in the weak coupling magnetic regime