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Abstract: We give a brief account of the recent progresses in super Yang-Mills theoriesbased in particular on the application of Nekrasov-s instanton technology tothe case of N=1 supersymmetry. We have developed a first-principle formalismfrom which any chiral observable in the theory can be computed, including instrongly coupled confining vacua. The correlators are first expressed in termsof some external variables as sums over colored partitions. The externalvariables are then fixed to their physical values by extremizing themicroscopic quantum superpotential. Remarquably, the results can be shown tocoincide with the Dijkgraaf-Vafa matrix model approach, which uses a totallydifferent mathematical framework. These results clarify many importantproperties of N=1 theories, related in particular to generalized Konishianomaly equations and to Veneziano-Yankielowicz terms in the glueballsuperpotentials. The proof of the equivalence between the formalisms based oncolored partitions and on matrices is also a proof of the open-closed stringduality in the chiral sector of the theories.



Autor: Frank Ferrari U. Libre de Bruxelles and Intl. Solvay Inst.

Fuente: https://arxiv.org/







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