Futoshi Yagi

Orbifolding the membrane action

We study a simple class of orbifolds of the = 6 Chern-Simons Matter theory proposed by Aharony, Bergman, Jafferis and Maldacena. They are considered as world volume theories of membranes probing 4/(k × n) and include new membrane theories with = 4 supersymmetries. We find that the moduli spaces of them are consistent with the fact that they probe 4/(k × n).

Non-Lagrangian theories from brane junctions

A bstractIn this article we use 5-brane junctions to study the 5D TN SCFTs corresponding to the 5D

M5-branes, toric diagrams and gauge theory duality

\mathcal{N}

Seiberg-Witten curve via generalized matrix model

 = 1 uplift of the 4D

Generalized matrix models and AGT correspondence at all genera

\mathcal{N}

N=2 gauge theories on toric singularities, blow-up formulae and W-algebrae

 = 2 strongly coupled gauge theories, which are obtained by compactifying N M5 branes on a sphere with three full punctures. Even though these theories have no Lagrangian description, by using the 5-brane junctions proposed by Benini, Benvenuti and Tachikawa, we are able to derive their Seiberg-Witten curves and Nekrasov partition functions. We cross-check our results with the 5D super-conformal index proposed by Kim, Kim and Lee. Through the AGTW correspondence, we discuss the relations between 5D superconformal indices and n-point functions of the q-deformed WN Toda theories.

On Effective Action of Multiple M5-branes and ABJM Action

A bstractIn this article we explore the duality between the low energy effective theory of five-dimensional

Pouliot type duality via a-maximization

\mathcal{N} = {1}\,{\text{SU}}{(N)^{{M - {1}}}}

Supersymmetric N=1Spin(10) gauge theory with two spinors via a-maximization

and SU(M)N−1 linear quiver gauge theories compactified on S1. The theories we study are the five-dimensional uplifts of four-dimensional superconformal linear quivers. We study this duality by comparing the Seiberg-Witten curves and the Nekrasov partition functions of the two dual theories. The Seiberg-Witten curves are obtained by minimizing the worldvolume of an M5-brane with nontrivial geometry. Nekrasov partition functions are computed using topological string theory. The result of our study is a map between the gauge theory parameters, i.e., Coulomb moduli, masses and UV coupling constants, of the two dual theories. Apart from the obvious physical interest, this duality also leads to compelling mathematical identities. Through the AGTW conjecture these five-dimentional gauge theories are related to q-deformed Liouville and Toda SCFTs in two-dimensions. The duality we study implies the relations between Liouville and Toda correlation functions through the map we derive.

Supersymmetric N=1 Spin(10) Gauge Theory with Two Spinors via a-Maximization

We study the generalized matrix model which corresponds to the n-point toric Virasoro conformal block. This describes four-dimensional