Deformations of Instanton Metrics

Roger Bielawski; Yannic Borchard; Sergey A. Cherkis

doi:10.3842/SIGMA.2023.041

Deformations of Instanton Metrics

Roger Bielawski, Yannic Borchard, Sergey A. Cherkis

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

Abstract

We discuss a class of bow varieties which can be viewed as Taub-NUT deformations of moduli spaces of instantons on noncommutative R⁴ . Via the generalized Legendre transform, we find the Kähler potential on each of these spaces.

Original language	English (US)
Article number	41
Journal	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume	19
DOIs	https://doi.org/10.3842/SIGMA.2023.041
State	Published - 2023
Externally published	Yes

Keywords

bow variety
generalised Legendre transform
hyperkähler geometry
instanton

ASJC Scopus subject areas

Analysis
Mathematical Physics
Geometry and Topology

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10.3842/SIGMA.2023.041

Cite this

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title = "Deformations of Instanton Metrics",

abstract = "We discuss a class of bow varieties which can be viewed as Taub-NUT deformations of moduli spaces of instantons on noncommutative R4 . Via the generalized Legendre transform, we find the K{\"a}hler potential on each of these spaces.",

keywords = "bow variety, generalised Legendre transform, hyperk{\"a}hler geometry, instanton",

author = "Roger Bielawski and Yannic Borchard and Cherkis, {Sergey A.}",

year = "2023",

doi = "10.3842/SIGMA.2023.041",

language = "English (US)",

volume = "19",

journal = "Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)",

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publisher = "Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine",

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AU - Bielawski, Roger

AU - Borchard, Yannic

AU - Cherkis, Sergey A.

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KW - generalised Legendre transform

KW - hyperkähler geometry

KW - instanton

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DO - 10.3842/SIGMA.2023.041

M3 - Article

AN - SCOPUS:85162868644

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JO - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

JF - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

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ER -

Deformations of Instanton Metrics

Abstract

Keywords

ASJC Scopus subject areas

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