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

38 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

Access to Document

10.1007/JHEP03(2012)045

Fingerprint Dive into the research topics of 'The ABCDEFG of instantons and W-algebras'. Together they form a unique fingerprint.

Cite this

@article{ad7b7b4735764cf689bb4dcde92eb47a,

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",

year = "2012",

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

language = "English (US)",

volume = "2012",

journal = "Journal of High Energy Physics",

issn = "1126-6708",

publisher = "Springer Verlag",

number = "3",

}

TY - JOUR

T1 - The ABCDEFG of instantons and W-algebras

AU - Keller, Christoph A.

AU - Mekareey, Noppadol

AU - Song, Jaewon

AU - Tachikawa, Yuji

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 - http://www.scopus.com/inward/record.url?scp=84859604709&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84859604709&partnerID=8YFLogxK

U2 - 10.1007/JHEP03(2012)045

DO - 10.1007/JHEP03(2012)045

M3 - Article

AN - SCOPUS:84859604709

VL - 2012

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 3

M1 - 045

ER -