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

65 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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title = "The ABCDEFG of instantons and W-algebras",

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.",

keywords = "Conformal and W symmetry, Duality in gauge field theories, Solitons monopoles and instantons, Supersymmetric gauge theory",

author = "Keller, \{Christoph A.\} and Noppadol Mekareey and Jaewon Song and Yuji Tachikawa",

note = "Funding Information: This work was supported by a grant from the Bundesministerium f{\"u}r Forschung und Technologie (\# 0319207A8,underthecoordinationoftheKernforschungsanlage J{\"u}lich and of the Internationales B{\"u}ro GKSS, Geesthacht).",

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doi = "10.1007/JHEP03(2012)045",

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T1 - The ABCDEFG of instantons and W-algebras

AU - Keller, Christoph A.

AU - Mekareey, Noppadol

AU - Song, Jaewon

AU - Tachikawa, Yuji

N1 - Funding Information: This work was supported by a grant from the Bundesministerium für Forschung und Technologie (# 0319207A8,underthecoordinationoftheKernforschungsanlage Jülich and of the Internationales Büro GKSS, Geesthacht).

PY - 2012

Y1 - 2012

N2 - 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.

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

UR - https://www.scopus.com/pages/publications/84859604709

UR - https://www.scopus.com/pages/publications/84859604709#tab=citedBy

U2 - 10.1007/JHEP03(2012)045

DO - 10.1007/JHEP03(2012)045

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SN - 1126-6708

VL - 2012

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 3

M1 - 045

ER -

The ABCDEFG of instantons and W-algebras

Abstract

Keywords

ASJC Scopus subject areas

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