Matrix models for 2^{*} theories
Abstract
We show how to represent a class of expressions involving discrete sums over partitions as matrix models. We apply this technique to the partition functions of 2^{*} theories, i.e. SeibergWitten theories with the massive hypermultiplet in the adjoint representation. We consider theories in four, five, and six dimensions, and obtain new matrix models, respectively, of rational, trigonometric, and elliptic type. The matrix models for five and sixdimensional U(1) theories are derived from the topological vertex construction related to curves of genus one and two.
 Publication:

Physical Review D
 Pub Date:
 October 2009
 DOI:
 10.1103/PhysRevD.80.086006
 arXiv:
 arXiv:0904.3064
 Bibcode:
 2009PhRvD..80h6006S
 Keywords:

 11.25.Yb;
 02.10.Yn;
 11.15.Pg;
 11.30.Pb;
 M theory;
 Matrix theory;
 Expansions for large numbers of components;
 Supersymmetry;
 High Energy Physics  Theory;
 Mathematical Physics;
 Mathematics  Combinatorics
 EPrint:
 20 pages, 5 figures