Exact multi-instanton solutions to self-dual Yang-Mills equation on curved spaces

被引：1

作者：

Nian, Jun ^{[1
]}

Qian, Yachao ^{[2
]}

机构：

[1] Univ Michigan, Leinweber Ctr Theoret Phys, Ann Arbor, MI 48109 USA

[2] SUNY Stony Brook, Dept Phys & Astron, Stony Brook, NY 11794 USA

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2021年 / 36卷 / 17期

关键词：

Yang-Mills equation; classical solution with nontrivial topology; instanton on curved space; exact multi-instanton solution; AdS black hole background; GAUGE FIELD CONFIGURATIONS; PARTITION-FUNCTIONS; TIMES; INSTANTONS; S-2;

D O I：

10.1142/S0217751X21501323

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

We find exact multi-instanton solutions to the self-dual Yang-Mills equation on a large class of curved spaces with SO(3) isometry, generalizing the results previously found on R-4. The solutions are featured with explicit multi-centered expressions and topological properties. As examples, we demonstrate the approach on several different curved spaces, including the Einstein static universe and R x dS(3)(E), and show that the exact multi-instanton solutions exist on these curved backgrounds.

引用

页数：12

共 50 条

[21] SELF-DUAL YANG-MILLS FIELDS
PORTER, JR
JOURNAL OF MATHEMATICAL PHYSICS, 1983, 24 (05) : 1224 - 1232
[22] A bilinear approach to a pfaffian self-dual Yang-Mills equation
Ohta, Y
Nimmo, JJC
Gilson, CR
GLASGOW MATHEMATICAL JOURNAL, 2001, 43A : 99 - 108
[23] COMPLEX STRING SOLUTIONS OF THE SELF-DUAL YANG-MILLS EQUATIONS
BURNS, AD
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (03): : 689 - 707
[24] 2-DIMENSIONAL REDUCTIONS OF THE SELF-DUAL YANG-MILLS EQUATIONS IN SELF-DUAL SPACES
TAFEL, J
JOURNAL OF MATHEMATICAL PHYSICS, 1993, 34 (05) : 1892 - 1907
[25] ON PARTICULAR SEPARABLE SOLUTIONS OF SELF-DUAL YANG-MILLS EQUATIONS
LEAUTE, B
MARCILHACY, G
LETTERE AL NUOVO CIMENTO, 1983, 38 (08): : 279 - 285
[26] ON A CONNECTION BETWEEN THE YANG-BAXTER EQUATION AND SELF-DUAL YANG-MILLS
ROUHANI, S
PHYSICS LETTERS A, 1984, 104 (01) : 7 - 9
[27] Self-dual Yang-Mills fields in pseudo-Euclidean spaces
Loginov, EK
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (25): : 6599 - 6604
[28] From self-dual yang-mills fields to self-dual gravity
Plebanski, J.F.
Przanowski, M.
Garcia-Compean, H.
Acta Physica Polonica, Series B: Particle Physics and Field Theory, Nuclear Physics Theory of Relativity, 1994, 25 (07):
[29] HIDDEN-SYMMETRY ALGEBRA FOR THE SELF-DUAL YANG-MILLS EQUATION
CHAU, LL
GE, ML
SINHA, A
WU, YS
PHYSICS LETTERS B, 1983, 121 (06) : 391 - 396
[30] YANG-MILLS INSTANTONS IN SELF-DUAL SPACETIMES
YUILLE, AL
PHYSICS LETTERS B, 1979, 81 (3-4) : 321 - 324

← 1 2 3 4 5 →