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arXiv · 1111.5624

The ABCDEFG of Instantons and W-algebras

Christoph A. Keller·Noppadol Mekareeya·Jaewon Song·Yuji Tachikawa
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Abstract

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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Christoph A. Keller, Noppadol Mekareeya, Jaewon Song, Yuji Tachikawa. 2023-03-06. The ABCDEFG of Instantons and W-algebras. https://doi.org/10.1007/jhep03(2012)045

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