N=2 gauge theories and degenerate fields of Toda theory

作者:Kanno Shoichi*; Matsuo Yutaka; Shiba Shotaro; Tachikawa Yuji
来源:Physical Review D - Particles, Fields, Gravitation and Cosmology, 2010, 81(4): 046004.
DOI:10.1103/PhysRevD.81.046004

摘要

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. Namely, we find that the type of degenerate fields of the W-N algebra, with null states at level one, is classified by Young diagrams with N boxes, and that the singular behavior of the Seiberg-Witten curve near the puncture agrees with that of W-N generators. We also find how to translate mass parameters of the gauge theory to the momenta of the Toda theory.

  • 出版日期2010-2-15