The ABCDEFG of instantons and W-algebras

Christoph A. Keller; Noppadol Mekareey; Jaewon Song; Yuji Tachikawa

doi:10.1007/JHEP03(2012)045

The ABCDEFG of instantons and W-algebras

Christoph A. Keller, Noppadol Mekareey, Jaewon Song, Yuji Tachikawa

Research output: Contribution to journal › Article › peer-review

40 Scopus citations

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.

Original language	English (US)
Article number	045
Journal	Journal of High Energy Physics
Volume	2012
Issue number	3
DOIs	https://doi.org/10.1007/JHEP03(2012)045
State	Published - 2012
Externally published	Yes

Keywords

Conformal and W symmetry
Duality in gauge field theories
Solitons monopoles and instantons
Supersymmetric gauge theory

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1007/JHEP03(2012)045

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AU - Mekareey, Noppadol

AU - Song, Jaewon

AU - Tachikawa, Yuji

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AB - 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.

KW - Conformal and W symmetry

KW - Duality in gauge field theories

KW - Solitons monopoles and instantons

KW - Supersymmetric gauge theory

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ER -

The ABCDEFG of instantons and W-algebras

Abstract

Keywords

ASJC Scopus subject areas

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