We review some exact results for the matrix models appearing in the localization of Chern–
Simons-matter theories, focusing on the structure of non-perturbative effects and on the M …

A bstract We find new bilinear relations for the partition functions of the U (N) k× U (N+ M)− k
ABJ theory with two parameter mass deformation (m 1, m 2), which generalize the\(\mathfrak …

A bstract Motivated by understanding M2-branes, we propose to reformulate partition
functions of M2-branes by quantum curves. Especially, we focus on the backgrounds of del …

A bstract The g-function is a measure of degrees of freedom associated to a boundary of two-
dimensional quantum field theories. In integrable theories, it can be computed exactly in a …

A bstract In the so-called (2, 2) theory, which is the U (N) 4 circular quiver superconformal
Chern-Simons theory with levels (k, 0,− k, 0), it was known that the instanton effects are …

A bstract It was known that quantum curves and super Chern-Simons matrix models
correspond to each other. From the viewpoint of symmetry, the algebraic curve of genus one …

In this paper we study the partition function of the mass deformed ABJM theory on a
squashed three sphere. In particular, we focus on the case with the Chern-Simons levels …

A bstract Recently it was found that the density matrix for a certain orthosymplectic Chern-
Simons theory matches with that for the ABJM theory with the odd chiral projection. We …

A bstract We present an explicit expression for the grand potential of the U (N) 3
superconformal Chern-Simons theory with the Chern-Simons levels being (k, 0,− k). From …

A bstract We study the partition function of the orientifold ABJM theory, which is a
superconformal Chern-Simons theory associated with the orthosymplectic supergroup. We …