Yang-Mills instantons from gravitational instantons

被引：25

作者：

Oh, John J. ^{[1
]}

Park, Chanyong ^{[2
]}

Yang, Hyun Seok ^{[3
]}

机构：

[1] Natl Inst Math Sci, Taejon 305390, South Korea

[2] Sogang Univ, Ctr Quantum Space Time, Seoul 121742, South Korea

[3] Ewha Womans Univ, Inst Early Universe, Seoul 120750, South Korea

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2011年 / 04期

关键词：

Solitons Monopoles and Instantons; Duality in Gauge Field Theories; Classical Theories of Gravity; TAUB-NUT SPACE; GAUGE FIELD CONFIGURATIONS; SELF-DUAL SOLUTIONS; ALE SPACES; EUCLIDEAN GRAVITY; QUANTUM-GRAVITY; SU(2) FIELDS; CONSTRUCTION; MONOPOLES; TOPOLOGY;

D O I：

10.1007/JHEP04(2011)087

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We show that every gravitational instantons are SU(2) Yang-Mills instantons on a Ricci-flat four manifold although the reverse is not necessarily true. It is shown that gravitational instantons satisfy exactly the same self-duality equation of SU(2) Yang-Mills instantons on the Ricci-flat manifold determined by the gravitational instantons themselves. We explicitly check the correspondence with several examples and discuss their topological properties.

引用

页数：37

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