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Abstract: We show how to represent a class of expressions involving discrete sums overpartitions as matrix models. We apply this technique to the partition functionsof 2* theories, i.e. Seiberg-Witten theories with the massive hypermultiplet inthe adjoint representation. We consider theories in four, five and sixdimensions, and obtain new matrix models respectively of rational,trigonometric and elliptic type. The matrix models for five- andsix-dimensional U1 theories are derived from the topological vertexconstruction related to curves of genus one and two.

Autor: Piotr Sułkowski


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