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On S-duality of 5d super Yang-Mills on S^1
Yuji Tachikawa
We study a duality of 5d maximally supersymmetric Yang-Mills on S^1, which exchanges the tower of Kaluza-Klein W-bosons and the tower of instantonic monopoles. This duality maps a…
The ABCDEFG of Instantons and W-algebras
Christoph A. Keller, Noppadol Mekareeya, Jaewon Song +1
For arbitrary gauge groups, we check at the one-instanton level that the Nekrasov partition function of pure N=2 super Yang-Mills is equal to the norm of a certain coherent state o…
On 6d N=(2,0) theory compactified on a Riemann surface with finite area
Davide Gaiotto, Gregory W. Moore, Yuji Tachikawa
We study 6d N=(2,0) theory of type SU(N) compactified on Riemann surfaces with finite area, including spheres with fewer than three punctures. The Higgs branch, whose metric is inv…
A strange relationship between 2d CFT and 4d gauge theory
Yuji Tachikawa
A relationship between 4d gauge theory and 2d CFT will be reviewed from the very basics. We will first cover the introductory material on the 2d CFT and on the instantons of 4d gau…
Seiberg-Witten Geometries Revisited
Yuji Tachikawa, Seiji Terashima
We provide a uniform solution to 4d N=2 gauge theory with a single gauge group G=A,D,E when the one-loop contribution to the beta function from any irreducible component R of the h…
Para-Liouville/Toda central charges from M5-branes
Tatsuma Nishioka, Yuji Tachikawa
We propose that N M5-branes, put on R^4/Z_m with deformation parameters epsilon_{1,2}, realize two-dimensional theory with SU(m)_N symmetry and m-th para-W_N symmetry. This include…