Starting with a gentle approach to the Alday–Gaiotto–Tachikawa (AGT) correspondence
from its 6d origin, these notes provide a wide (albeit shallow) survey of the literature on …

A bstract We engineer a large new set of four-dimensional\(\mathcal {N}= 1\) superconformal
field theories by wrapping M5-branes on complex curves. We present new supersymmetric …

Seiberg-Witten geometry of mass deformed $\mathcal N= 2$ superconformal ADE quiver
gauge theories in four dimensions is determined. We solve the limit shape equations …

We describe a procedure for classifying\(\mathcal {N}= 2\) superconformal theories of the
type introduced by Davide Gaiotto. Any curve, C, on which the 6D AN− 1 SCFT is …

A bstract We study\(\mathcal {N}={2}\) supersymmetric SU (2) gauge theories coupled to non-
Lagrangian superconformal field theories induced by compactifying the six dimensional A 1 …

A bstract We describe a procedure for classifying 4D\(\mathcal {N}\)= 2 superconformal
theories of the type introduced by Davide Gaiotto. Any punctured curve, C, on which the 6D …

We study the dual descriptions recently discovered for the Seiberg–Witten theory in the
presence of surface operators. The Nekrasov partition function for a four-dimensional N= 2 …

A bstract We study 4D\(\mathcal {N}\)= 2 superconformal field theories that arise from the
compactification of 6D\(\mathcal {N}\)=(2, 0) theories of type DN on a Riemann surface, in …

A bstract Compactifying the 6-dimensional (2, 0) superconformal field theory, of type ADE,
on a Riemann surface, C, with codimension-2 defect operators at points on C, yields a 4 …

A bstract We calculate the central charges a, c and k G of a large class of four-
dimensional\(\mathcal {N}= 2\) superconformal field theories arising from compactifying the …