Kazuya Yonekura

Anomaly polynomial of general 6D SCFTs

We describe a method to determine the anomaly polynomials of general 6d N=(2,0) and N=(1,0) SCFTs, in terms of the anomaly matching on their tensor branches. This method is almost purely field theoretical, and can be applied to all known 6d SCFTs. We demonstrate our method in many concrete examples, including N=(2,0) theories of arbitrary type and the theories on M5 branes on ALE singularities, reproducing the N 3 behavior. We check the results against the anomaly polynomials computed M-theoretically via the anomaly inflow.

N=1 dynamics with T_N theory

A bstractWe study the dynamics of

Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories

\mathcal{N}

6d

= 1 supersymmetric systems consisting of the strongly-coupled superconformal theory TN , SU(N ) gauge groups, and fundamental chiral multiplets. We demonstrate that such systems exhibit familiar phenomena such as deformation of the vacuum moduli space, appearance of the dynamical superpotential, and Coulomb branches with

\mathcal{N}=(1,0)

\mathcal{N}

theories on

= 1 Seiberg-Witten curves. The analysis requires a rather detailed knowledge of the chiral ring of the TN theory, which will also be discussed at length.

T^2

A bstractWe consider general 5d SU(N ) quiver gauge theories whose nodes form an ADE Dynkin diagram of type G. Each node has SU(Ni) gauge group of general rank, Chern-Simons level κi and additional wi fundamentals. When the total flavor number at each node is less than or equal to 2Ni − 2|κi|, we give general rules under which the symmetries associated to instanton currents are enhanced to G × G or a subgroup of it in the UV 5d superconformal theory. When the total flavor number violates that condition at some of the nodes, further enhancement of flavor symmetries occurs. In particular we find a large class of gauge theories interpreted as S1 compactification of 6d superconformal theories which are waiting for string/F-theory realization. We also consider hypermultiplets in (anti-)symmetric representation.

and class S theories: Part I

We show that the N=(1,0) superconformal theory on a single M5 brane on the ALE space of type G = An,Dn,En, when compactified on T 2 , becomes a class S theory of type G on a sphere with two full punctures and a simple puncture. We study this relation from various viewpoints. Along the way, we develop a new method to study the 4d SCFT arising from the T 2 compactification of a class of 6dA bstractWe show that the N=10

Mass-deformed T N as a linear quiver

\mathcal{N}=\left(1,0\right)