Yang-Mills- and D-instantons

In these lectures, which are written at an elementary and pedagogical level, we discuss general aspects of (single) instantons in SU(N_c) Yang-Mills theory, and then specialize to the case of N = 4 supersymmetry and the large N_c limit. We show how to determine the measure of collective coordinates and compute instanton corrections to certain correlation functions. We then relate this to D-instantons in type IIB supergravity. By taking the D-instantons to live in an $AdS_5\times S^5$ background, we perform explicit checks of the AdS/CFT correspondence.Comment: 62 pages, typos corrected, table of contents and references adde

A NEW APPROACH TO ESTIMATION OF THE ECOLOGICAL PLASTICITY OF PLANT VARIETIES

Problems of the improvement of estimation of the environmental plasticity of varieties and lines are considered. It is recommended to apply the proposed variety stability index. A final version of the analytical expression of the index for practical application is presented, as well as its typical values for Siberia