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Hitchin systems, N=2 gauge theories and W-gravity
- Source :
- Phys.Lett.B691:111-115,2010
- Publication Year :
- 2009
-
Abstract
- We propose some arguments supporting an M-theory derivation of the duality recently discovered by Alday, Gaiotto and Tachikawa between two-dimensional conformal field theories and N=2 superconformal gauge theories in four dimensions. We find that A_{N-1} Toda field theory is the simplest two-dimensional conformal field theory quantizing the moduli of N M5-branes wrapped on a Riemann surface. This leads us to identify chiral operators of the N=2 gauge theories with W-algebra currents. As a check of this correspondence we study some relevant OPE's obtaining that Nekrasov's partition function satisfies W-geometry constraints.<br />Comment: 1 + 9 pages; v.2 refs and comments added; v3 version to appear on PLB
- Subjects :
- High Energy Physics - Theory
Mathematical Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys.Lett.B691:111-115,2010
- Publication Type :
- Report
- Accession number :
- edsarx.0909.4031
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.physletb.2010.06.027