Narrow Results

We discuss the gravity duals of SO/USp superconformal quiver gauge theories on M5-branes which are localized on top of ℝ⁵/ℤ₂ and wrapping on a Riemann surface of genus g. We concentrate on Riemann surfaces with no punctures and show that the gravity solutions are classified by the genus g of the Riemann surface and the torsion part of the four-form flux.

We find that, apart from the instanton contributions, the all genus partition function of the ABJM matrix model sums up to the Airy function. We present the result, discuss its implication and also summarize some further progress.

We show that the ABJM theory, which is an superconformal U(N) × U(N) Chern-Simons matter theory, can be studied for arbitrary N at arbitrary coupling constant by applying a simple Monte Carlo method to the matrix model derived by using the localization method. Here we calculate the free energy, and show that some results obtained by the Fermi gas approach can be clearly understood from the constant map contribution obtained by the genus expansion.