Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 5, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP05(2011)038
Keywords
Supersymmetric gauge theory; Conformal and W Symmetry; Solitons Monopoles and Instantons
Categories
Funding
- JSPS [19GS0219]
- Grants-in-Aid for Scientific Research [19GS0219] Funding Source: KAKEN
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Recently Alday, Gaiotto and Tachikawa have proposed relation between 2- and 4-dimensional conformal field theories. The relation implies that the Nekrasov partition functions of N = 2 superconformal gauge theories are equal to conformal blocks associated with the conformal algebra. Likewise, a counterpart in pure super Yang-Mills theory exists in conformal field theory. We propose a simple relation between the Shapovalov matrix of the W-3-algebra and the Nekrasov partition function of N = 2 SU(3) Yang-Mills theory.
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