Ricci-flat supertwistor spaces

Ulf Lindström; Martin Rocek; Rikard Von Unge

doi:10.1088/1126-6708/2006/01/163

Ricci-flat supertwistor spaces

Ulf Lindström
, Martin Rocek
, Rikard Von Unge

Institute for Theoretical Physics

Uppsala University
Masaryk University

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

7 Scopus citations

Abstract

We show that supertwistor spaces constructed as a Kähler quotient of a hyperkähler cone (HKC) with equal numbers of bosonic and fermionic coordinates are Ricci-flat, and hence, Calabi-Yau. We study deformations of the supertwistor space induced from deformations of the HKC. We also discuss general infinitesimal deformations that preserve Ricci-flatness.

Original language	English
Article number	163
Journal	Journal of High Energy Physics
Issue number	1
DOIs	https://doi.org/10.1088/1126-6708/2006/01/163
State	Published - 2006

Keywords

Supersymmetric gauge theory
Topological Strings

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10.1088/1126-6708/2006/01/163

Cite this

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title = "Ricci-flat supertwistor spaces",

abstract = "We show that supertwistor spaces constructed as a K{\"a}hler quotient of a hyperk{\"a}hler cone (HKC) with equal numbers of bosonic and fermionic coordinates are Ricci-flat, and hence, Calabi-Yau. We study deformations of the supertwistor space induced from deformations of the HKC. We also discuss general infinitesimal deformations that preserve Ricci-flatness.",

keywords = "Supersymmetric gauge theory, Topological Strings",

author = "Ulf Lindstr{\"o}m and Martin Rocek and \{Von Unge\}, Rikard",

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AU - Lindström, Ulf

AU - Rocek, Martin

AU - Von Unge, Rikard

PY - 2006

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AB - We show that supertwistor spaces constructed as a Kähler quotient of a hyperkähler cone (HKC) with equal numbers of bosonic and fermionic coordinates are Ricci-flat, and hence, Calabi-Yau. We study deformations of the supertwistor space induced from deformations of the HKC. We also discuss general infinitesimal deformations that preserve Ricci-flatness.

KW - Supersymmetric gauge theory

KW - Topological Strings

UR - https://www.scopus.com/pages/publications/33645503645

U2 - 10.1088/1126-6708/2006/01/163

DO - 10.1088/1126-6708/2006/01/163

M3 - Article

AN - SCOPUS:33645503645

SN - 1126-6708

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 1

M1 - 163

ER -

Ricci-flat supertwistor spaces

Abstract

Keywords

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