Speaker
Tomoki Nosaka
(SIMIS)
Description
We study the finite dimensional integrals which calculate the sphere partition function of the theories of N M2-branes, which we shall call M2-matrix models. M2-matrix models has been studied in detail in particular for the U(N)k x U(N+M){-k} ABJ(M) theory, where it was found that the generating function of the matrix models obey the Hirota bilinear form of the q-discrete Painleve III_3 equation. We find similar bilinear relations also hold in more general setups. Furthermore, combining the bilinear relations with the duality in 3d gauge theory we find simple recursion relation with respect to N, which is a new powerful tool to study the finite N corrections in M2-matrix models.