Exact solution to many problems in mathematical physics and quantum field theory often can
be expressed in terms of an algebraic curve equipped with a meromorphic differential …

We suggested in 2009 that the Nekrasov function with one non-vanishing deformation
parameter epsilon is obtained by the standard Seiberg–Witten (SW) contour-integral …

We give a concise summary of the impressive recent development unifying a number of
different fundamental subjects. The quiver Nekrasov functions (generalized hypergeometric …

We discuss the Penner type matrix model recently proposed by Dijkgraaf and Vafa for a
possible explanation of the relation between four-dimensional gauge theory and Liouville …

We show that partition functions of various matrix models can be obtained by acting on
elementary functions with exponents of Ŵ operators. A number of illustrations is given …

A bstract Inspired by recent connections between spectral theory and topological string
theory, we propose exact quantization conditions for the relativistic Toda lattice of N …

We explore the connections between three classes of theories: A r quiver matrix models, d=
2 conformal A r Toda field theories, and d= 4 N= 2 supersymmetric conformal A r quiver …

A bstract In fivebrane compactifications on 3-manifolds, we point out the importance of all flat
connections in the proper definition of the effective 3d\(\mathcal {N}= 2\) theory. The …

We propose a new family of matrix models whose 1/N expansion captures the all-genus
topological string on toric Calabi–Yau threefolds. These matrix models are constructed from …

In [1] we explained that partition functions of various matrix models can be constructed from
that of the cubic Kontsevich model, which, therefore, becomes a basic elementary building …