Construction of supersymmetric nonlinear sigma models on noncompact Calabi-Yau manifolds with isometry

Kiyoshi Higashijima, Tetsuji Kimura, Muneto Nitta

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We propose a class of script N sign = 2 supersymmetric nonlinear sigma models on the noncompact Ricci-flat Kähler manifolds, interpreted as the complex line bundles over the hermitian symmetric spaces. Kähler potentials and Ricci-flat metrics for these manifolds with isometries are explicitly constructed by using the techniques of supersymmetric gauge theories. Each of the metrics contains a resolution parameter which controls the size of these base manifolds, and the conical singularity appears when the parameter vanishes.

Original languageEnglish
Pages (from-to)867-869
Number of pages3
JournalNuclear Physics B - Proceedings Supplements
Volume117
Issue numberSUPPL. 1
DOIs
Publication statusPublished - 2003 Apr
Externally publishedYes

Fingerprint

bundles
gauge theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Construction of supersymmetric nonlinear sigma models on noncompact Calabi-Yau manifolds with isometry. / Higashijima, Kiyoshi; Kimura, Tetsuji; Nitta, Muneto.

In: Nuclear Physics B - Proceedings Supplements, Vol. 117, No. SUPPL. 1, 04.2003, p. 867-869.

Research output: Contribution to journalArticle

@article{92051d3236f24a3593d99ab095ea9af6,
title = "Construction of supersymmetric nonlinear sigma models on noncompact Calabi-Yau manifolds with isometry",
abstract = "We propose a class of script N sign = 2 supersymmetric nonlinear sigma models on the noncompact Ricci-flat K{\"a}hler manifolds, interpreted as the complex line bundles over the hermitian symmetric spaces. K{\"a}hler potentials and Ricci-flat metrics for these manifolds with isometries are explicitly constructed by using the techniques of supersymmetric gauge theories. Each of the metrics contains a resolution parameter which controls the size of these base manifolds, and the conical singularity appears when the parameter vanishes.",
author = "Kiyoshi Higashijima and Tetsuji Kimura and Muneto Nitta",
year = "2003",
month = "4",
doi = "10.1016/S0920-5632(02)02252-1",
language = "English",
volume = "117",
pages = "867--869",
journal = "Nuclear and Particle Physics Proceedings",
issn = "2405-6014",
publisher = "Elsevier",
number = "SUPPL. 1",

}

TY - JOUR

T1 - Construction of supersymmetric nonlinear sigma models on noncompact Calabi-Yau manifolds with isometry

AU - Higashijima, Kiyoshi

AU - Kimura, Tetsuji

AU - Nitta, Muneto

PY - 2003/4

Y1 - 2003/4

N2 - We propose a class of script N sign = 2 supersymmetric nonlinear sigma models on the noncompact Ricci-flat Kähler manifolds, interpreted as the complex line bundles over the hermitian symmetric spaces. Kähler potentials and Ricci-flat metrics for these manifolds with isometries are explicitly constructed by using the techniques of supersymmetric gauge theories. Each of the metrics contains a resolution parameter which controls the size of these base manifolds, and the conical singularity appears when the parameter vanishes.

AB - We propose a class of script N sign = 2 supersymmetric nonlinear sigma models on the noncompact Ricci-flat Kähler manifolds, interpreted as the complex line bundles over the hermitian symmetric spaces. Kähler potentials and Ricci-flat metrics for these manifolds with isometries are explicitly constructed by using the techniques of supersymmetric gauge theories. Each of the metrics contains a resolution parameter which controls the size of these base manifolds, and the conical singularity appears when the parameter vanishes.

UR - http://www.scopus.com/inward/record.url?scp=10944241070&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=10944241070&partnerID=8YFLogxK

U2 - 10.1016/S0920-5632(02)02252-1

DO - 10.1016/S0920-5632(02)02252-1

M3 - Article

VL - 117

SP - 867

EP - 869

JO - Nuclear and Particle Physics Proceedings

JF - Nuclear and Particle Physics Proceedings

SN - 2405-6014

IS - SUPPL. 1

ER -