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A review on instanton counting and W-algebras
Yuji Tachikawa
This is the third article in the collection of reviews "Exact results on N=2 supersymmetric gauge theories", ed. J. Teschner. It is explained how to compute the instanton partition…
Magnetic discrete gauge field in the confining vacua and the supersymmetric index
Yuji Tachikawa
It has recently been argued that the confining vacua of Yang-Mills theory in the far infrared can have topological degrees of freedom given by magnetic gauge field,…
Mass-deformed as a linear quiver
Hirotaka Hayashi, Yuji Tachikawa, Kazuya Yonekura
The theory is a non-Lagrangian theory with SU(N) flavor symmetry. We argue that when mass terms are given so that two of SU(N)'s are both broken to SU(N-1) x U(1), it becomes…
Anomaly polynomial of general 6d SCFTs
Kantaro Ohmori, Hiroyuki Shimizu, Yuji Tachikawa +1
We describe a method to determine the anomaly polynomials of general 6d and SCFTs, in terms of the anomaly matching on their tensor branches…
Anomaly polynomial of E-string theories
Kantaro Ohmori, Hiroyuki Shimizu, Yuji Tachikawa
We determine the anomaly polynomial of the E-string theory and its higher-rank generalizations, that is, the 6d superconformal theories on the worldvolume of…
Moduli spaces of SO(8) instantons on smooth ALE spaces as Higgs branches of 4d N=2 supersymmetric theories
Yuji Tachikawa
The worldvolume theory of D3-branes probing four D7-branes and an O7-plane on is given by a supersymmetric USp x USp gauge theory. We demonstrate that,…