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Comments on scaling limits of 4d N=2 theories
Davide Gaiotto, Nathan Seiberg, Yuji Tachikawa
We revisit the study of the maximally singular point in the Coulomb branch of 4d N=2 SU(N) gauge theory with N_f=2n flavors for N_f<2N. When n >= 2, we find that the low-energy phy…
N=2 S-duality via Outer-automorphism Twists
Yuji Tachikawa
Compactification of 6d N=(2,0) theory of type G on a punctured Riemann surface has been effectively used to understand S-dualities of 4d N=2 theories. We can further introduce bran…
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…
Affine SL(2) conformal blocks from 4d gauge theories
Luis F. Alday, Yuji Tachikawa
We study Nekrasov's instanton partition function of four-dimensional N=2 gauge theories in the presence of surface operators. This can be computed order by order in the instanton e…
Exactly Marginal Deformations and Global Symmetries
Daniel Green, Zohar Komargodski, Nathan Seiberg +2
We study the problem of finding exactly marginal deformations of N=1 superconformal field theories in four dimensions. We find that the only way a marginal chiral operator can beco…
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…