Ricci-flat kahler manifolds and supersymmetry

Luis Alvarez-Gaumé; Daniel Z. Freedman

doi:10.1016/0370-2693(80)90850-3

Ricci-flat kahler manifolds and supersymmetry

Luis Alvarez-Gaumé
, Daniel Z. Freedman

Simons Center for Geometry & Physics

Stony Brook University

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

81 Scopus citations

Abstract

A class of supersymmetric non-linear σ-models obtained previously is shown to generate a set of explicit Ricci-flat Kahler metrics of even complex dimension. The two-dimensional case is a self-dual gravitational instanton, very probably the Eguchi-Hansen metric, while higher dimensional cases may coincide with manifolds of Calabi.

Original language	English
Pages (from-to)	171-173
Number of pages	3
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	94
Issue number	2
DOIs	https://doi.org/10.1016/0370-2693(80)90850-3
State	Published - 1980

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title = "Ricci-flat kahler manifolds and supersymmetry",

abstract = "A class of supersymmetric non-linear σ-models obtained previously is shown to generate a set of explicit Ricci-flat Kahler metrics of even complex dimension. The two-dimensional case is a self-dual gravitational instanton, very probably the Eguchi-Hansen metric, while higher dimensional cases may coincide with manifolds of Calabi.",

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year = "1980",

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AU - Alvarez-Gaumé, Luis

AU - Freedman, Daniel Z.

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AB - A class of supersymmetric non-linear σ-models obtained previously is shown to generate a set of explicit Ricci-flat Kahler metrics of even complex dimension. The two-dimensional case is a self-dual gravitational instanton, very probably the Eguchi-Hansen metric, while higher dimensional cases may coincide with manifolds of Calabi.

UR - https://www.scopus.com/pages/publications/84967570458

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DO - 10.1016/0370-2693(80)90850-3

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AN - SCOPUS:84967570458

SN - 0370-2693

VL - 94

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 2

ER -

Ricci-flat kahler manifolds and supersymmetry

Abstract

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