265 citations · 606 across the 6 of their papers we have counts for
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On skein relations in class S theories
Yuji Tachikawa, Noriaki Watanabe
Loop operators of a class S theory arise from networks on the corresponding Riemann surface, and their operator product expansions are given in terms of the skein relations, that w…
6d theories on and class S theories: part I
Kantaro Ohmori, Hiroyuki Shimizu, Yuji Tachikawa +1
We show that the superconformal theory on a single M5 brane on the ALE space of type , when compactified on , becomes a class S theory of…
Instanton operators and symmetry enhancement in 5d supersymmetric gauge theories
Yuji Tachikawa
Supersymmetric gauge theories in five dimensions often exhibit less symmetry than the ultraviolet fixed points from which they flow. The fixed points might have larger flavor symme…
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…
Mirrors of 3d Sicilian theories
Francesco Benini, Yuji Tachikawa, Dan Xie
We consider the compactification of the 6d N=(2,0) theories, or equivalently of M-theory 5-branes, on a punctured Riemann surface times a circle. This gives rise to what we call 3d…
Notes on the K3 Surface and the Mathieu group M_24
Tohru Eguchi, Hirosi Ooguri, Yuji Tachikawa
We point out that the elliptic genus of the K3 surface has a natural decomposition in terms of dimensions of irreducible representations of the largest Mathieu group M_24. The reas…