The theory of matrix models is reviewed from the point of view of its relation to integrable
hierarchies. Discrete 1-matrix, 2-matrix,'conformal'(multicomponent) and Kontsevich models …

Spin generalization of the Ruijsenaars-Schneider model, the non-Abelian 2D Toda chain, and
representations of the Sklyanin algeb Page 1 Russian Mathematical Surveys Spin …

Under suitable assumptions on the boundary conditions, it is shown that there is a bijective
correspondence between equivalence classes of asymptotic reducibility parameters and …

We study the N= 2 four-dimensional superconformal index in various interesting limits, such
that only states annihilated by more than one supercharge contribute. Extrapolating from the …

The exact Seiberg-Witten (SW) description of the light sector in the N= 2 SUSY 4d Yang-
Mills theory [N. Seiberg and E. Witten, Nucl. Phys. B 430 (1994) 485 (E); B 446 (1994) 19] is …

An announcement of some results of a longer paper where the supersymmetric vacua of two
dimensional N= 2 susy gauge theories with matter are shown to be in one-to-one …

A bstract The analytic properties of the\(\mathcal {N}= 2\) superconformal index are given a
physical interpretation in terms of certain BPS surface defects, which arise as the IR limit of …

Supersymmetric vacua of two dimensional N= 4 gauge theories with matter, softly broken by
the twisted masses down to N= 2, are shown to be in one-to-one correspondence with the …

We study macroscopically two dimensional N=(2, 2) N=(2, 2) supersymmetric gauge
theories constructed by compactifying the quiver gauge theories with eight supercharges on …

The moduli space of SL2 flat connections on a punctured Riemann surface Σ with the fixed
conjugacy classes of the monodromies around the punctures is endowed with a system of …