The ABCDEFG of Instantons and W-algebras

Details The ABCDEFG of Instantons and W-algebras The ABCDEFG of Instantons and W-algebras

2011-11-23

arxiv.org/abs/1111.5624v2

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 2 figures, v2: references added, explicit expression for the W(E6) generators added

Scientific paper

For arbitrary gauge groups, we check at the one-instanton level that the
Nekrasov partition function of pure N=2 super Yang-Mills is equal to the norm
of a certain coherent state of the corresponding W-algebra. For
non-simply-laced gauge groups, we confirm in particular that the coherent state
is in the twisted sector of a simply-laced W-algebra.

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