ANALYSIS OF PHASES OF SUPERSYMMETRYC YANG-MILLS THEORIES AND SUPERSTRINGS

超级杨-米尔斯理论和超弦的各个阶段可以通过精确解的幂来分析。该项目的主要目的是分析这些理论的阶段。超对称Yang-Mills理论的精确解研究进展很快。最近，Dijkgraaf和Vafa提出了一个猜想，即通过矩阵积分可以得到精确的超势。他们从伴随物质多重态的超势中得出了这个结果。本文用Dijkgraaf和Vafa的方法导出了在规范场的基本表象中具有物质场的规范理论的超势。我们用一种味道对待理论，并再现了一个著名的介子场的非微扰超势。

The various phases of super Yang-Mills theories and superstrings can be analyzed through the power of exact solutions. The main aim of the project was the analysis of the phases of these theories. There is a rapid progress in the fields of exact solutions of supersymmetric Yang-Mills theories. Recently, Dijkgraaf and Vafa made a conjecture that exact superpotential can be obtained via matrix integration. They derived this results for the superpotential for adjoint matter multiplets. We derive the superpotential of gauge theories having matter fields in the fundamental representation of gauge fields by using the method of Dijkgraaf and Vafa. We treat the theories with one flavour and reproduce a well-known non-perturbative superpotential for meson field.