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N=2 gauge theories and degenerate fields of Toda theory
Shoichi Kanno, Yutaka Matsuo, Shotaro Shiba +1
We discuss the correspondence between degenerate fields of the W_N algebra and punctures of Gaiotto's description of the Seiberg-Witten curve of N=2 superconformal gauge theories.…
Liouville/Toda central charges from M5-branes
Luis F. Alday, Francesco Benini, Yuji Tachikawa
We show that the central charge of the Liouville and ADE Toda theories can be reproduced by equivariantly integrating the anomaly eight-form of the corresponding six-dimensional N=…
Sicilian gauge theories and N=1 dualities
Francesco Benini, Yuji Tachikawa, Brian Wecht
In theories without known Lagrangian descriptions, knowledge of the global symmetries is often one of the few pieces of information we have at our disposal. Gauging (part of) such…
Loop and surface operators in N=2 gauge theory and Liouville modular geometry
Luis F. Alday, Davide Gaiotto, Sergei Gukov +2
Recently, a duality between Liouville theory and four dimensional N=2 gauge theory has been uncovered by some of the authors. We consider the role of extended objects in gauge theo…
Liouville Correlation Functions from Four-dimensional Gauge Theories
Luis F. Alday, Davide Gaiotto, Yuji Tachikawa
We conjecture an expression for the Liouville theory conformal blocks and correlation functions on a Riemann surface of genus g and n punctures as the Nekrasov partition function o…
Webs of five-branes and N=2 superconformal field theories
Francesco Benini, Sergio Benvenuti, Yuji Tachikawa
We describe configurations of 5-branes and 7-branes which realize, when compactified on a circle, new isolated four-dimensional N=2 superconformal field theories recently construct…