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

共 50 条

[1] Yang-Mills instantons from gravitational instantons
John J. Oh
Chanyong Park
Hyun Seok Yang
Journal of High Energy Physics, 2011
[2] YANG-MILLS INSTANTONS ON ALE GRAVITATIONAL INSTANTONS
KRONHEIMER, PB
NAKAJIMA, H
MATHEMATISCHE ANNALEN, 1990, 288 (02) : 263 - 307
[3] On Yang-Mills instantons over multi-centered gravitational instantons
Etesi, G
Hausel, T
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2003, 235 (02) : 275 - 288
[4] Yang-Mills instantons in the gravitational instanton backgrounds
Kim, HS
Yoon, YS
PHYSICS LETTERS B, 2000, 495 (1-2) : 169 - 175
[5] Gravitational and Yang-Mills instantons in holographic RG flows
Edi Gava
Parinya Karndumri
K. S. Narain
Journal of High Energy Physics, 2011
[6] Gravitational and Yang-Mills instantons in holographic RG flows
Gava, Edi
Karndumri, Parinya
Narain, K. S.
JOURNAL OF HIGH ENERGY PHYSICS, 2011, (08):
[7] YANG-MILLS FIELDS, INSTANTONS, TENSOR-PRODUCTS OF INSTANTONS
DRINFELD, VG
MANIN, YI
SOVIET JOURNAL OF NUCLEAR PHYSICS-USSR, 1979, 29 (06): : 845 - 849
[8] Frobenius manifolds from Yang-Mills instantons
Segert, J
MATHEMATICAL RESEARCH LETTERS, 1998, 5 (03) : 327 - 344
[9] Yang-Mills instantons with Lorentz violation
Colladay, D
McDonald, P
JOURNAL OF MATHEMATICAL PHYSICS, 2004, 45 (08) : 3228 - 3238
[10] Yang-Mills and D-instantons
Belitsky, AV
Vandoren, S
van Nieuwenhuizen, P
CLASSICAL AND QUANTUM GRAVITY, 2000, 17 (17) : 3521 - 3570

← 1 2 3 4 5 →