Hyper-Kähler metrics and a generalization of the Bogomolny equations

Henrik Pedersen; Yat Sun Poon

doi:10.1007/BF01218385

Hyper-Kähler metrics and a generalization of the Bogomolny equations

Henrik Pedersen^*, Yat Sun Poon

^*Kontaktforfatter

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

57 Citationer (Scopus)

Abstract

We generalize the Bogomolny equations to field equations on ℝ³ {circled division slash} ℝⁿ and describe a twistor correspondence. We consider a general hyper-Kähler metric in dimension 4 n with an action of the torus Tⁿ compatible with the hyper-Kähler structure. We prove that such a metric can be described in terms of the Tⁿ-solution of the field equations coming from the twistor space of the metric.

Originalsprog	Engelsk
Tidsskrift	Communications in Mathematical Physics
Vol/bind	117
Udgave nummer	4
Sider (fra-til)	569-580
Antal sider	12
ISSN	0010-3616
DOI	https://doi.org/10.1007/BF01218385
Status	Udgivet - dec. 1988
Udgivet eksternt	Ja

Adgang til dokumentet

10.1007/BF01218385

AUB Link

Søg efter materialet i Aalborg Universitetsbiblioteks søgemaskine

Andre filer og links

http://www.scopus.com/inward/record.url?scp=0000775802&partnerID=8YFLogxK

Citationsformater

@article{a8955c948ce44d4193c007e5731029fe,

title = "Hyper-K{\"a}hler metrics and a generalization of the Bogomolny equations",

abstract = "We generalize the Bogomolny equations to field equations on ℝ3 {circled division slash} ℝn and describe a twistor correspondence. We consider a general hyper-K{\"a}hler metric in dimension 4 n with an action of the torus Tn compatible with the hyper-K{\"a}hler structure. We prove that such a metric can be described in terms of the Tn-solution of the field equations coming from the twistor space of the metric.",

author = "Henrik Pedersen and Poon, {Yat Sun}",

year = "1988",

month = dec,

doi = "10.1007/BF01218385",

language = "English",

volume = "117",

pages = "569--580",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Physica-Verlag",

number = "4",

}

TY - JOUR

T1 - Hyper-Kähler metrics and a generalization of the Bogomolny equations

AU - Pedersen, Henrik

AU - Poon, Yat Sun

PY - 1988/12

Y1 - 1988/12

N2 - We generalize the Bogomolny equations to field equations on ℝ3 {circled division slash} ℝn and describe a twistor correspondence. We consider a general hyper-Kähler metric in dimension 4 n with an action of the torus Tn compatible with the hyper-Kähler structure. We prove that such a metric can be described in terms of the Tn-solution of the field equations coming from the twistor space of the metric.

AB - We generalize the Bogomolny equations to field equations on ℝ3 {circled division slash} ℝn and describe a twistor correspondence. We consider a general hyper-Kähler metric in dimension 4 n with an action of the torus Tn compatible with the hyper-Kähler structure. We prove that such a metric can be described in terms of the Tn-solution of the field equations coming from the twistor space of the metric.

UR - http://www.scopus.com/inward/record.url?scp=0000775802&partnerID=8YFLogxK

U2 - 10.1007/BF01218385

DO - 10.1007/BF01218385

M3 - Journal article

AN - SCOPUS:0000775802

SN - 0010-3616

VL - 117

SP - 569

EP - 580

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 4

ER -

Hyper-Kähler metrics and a generalization of the Bogomolny equations

Abstract

Adgang til dokumentet

AUB Link

Andre filer og links

Fingeraftryk

Citationsformater