ANALYSIS OF PHASES OF SUPERSYMMETRYC YANG-MILLS THEORIES AND SUPERSTRINGS

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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.