HARMONIC SPHERES CONJECTURE

被引：3
作者：
Sergeev, A. G. [1 ]
机构：
[1] RAS, VA Steklov Math Inst, Moscow 117901, Russia
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2010年 / 164卷 / 03期
基金：
俄罗斯基础研究基金会;
关键词：
harmonic map; Yang-Mills field; loop space; twistor space; INSTANTONS;
D O I：
10.1007/s11232-010-0092-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We discuss the harmonic spheres conjecture that the space of harmonic maps of the Riemann sphere into the loop space of a compact Lie group G are related to the moduli space of Yang-Mills G-fields on the four-dimensional Euclidean space.
引用
收藏
页码：1140 / 1150
页数：11
相关论文
共 50 条
[31]   Asymptotic Boundary Value Problem of Harmonic Maps via Harmonic Boundary [J].
Lee, Yong Hah .
POTENTIAL ANALYSIS, 2014, 41 (02) :463-468
[32]   Uniqueness of the Boundary Value Problem of Harmonic Maps via Harmonic Boundary [J].
Yong Hah Lee .
Bulletin of the Malaysian Mathematical Sciences Society, 2020, 43 :2733-2743
[33]   Asymptotic Boundary Value Problem of Harmonic Maps via Harmonic Boundary [J].
Yong Hah Lee .
Potential Analysis, 2014, 41 :463-468
[34]   Uniqueness of the Boundary Value Problem of Harmonic Maps via Harmonic Boundary [J].
Lee, Yong Hah .
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 43 (03) :2733-2743
[35]   Bounded harmonic maps [J].
Benoist, Yves ;
Hulin, Dominique .
GEOMETRIAE DEDICATA, 2023, 217 (06)
[36]   Bounded harmonic maps [J].
Yves Benoist ;
Dominique Hulin .
Geometriae Dedicata, 2023, 217
[37]   Probing the weak gravity conjecture in the cosmic microwave background [J].
Winkler, Martin Wolfgang ;
Gerbino, Martina ;
Benetti, Micol .
PHYSICAL REVIEW D, 2020, 101 (08)
[38]   HOMOTOPY NILPOTENCY OF LOCALIZED SPHERES AND PROJECTIVE SPACES [J].
Golasinski, Marek .
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2021, 64 (03) :501-512
[39]   Instanton algebras and quantum 4-spheres [J].
Dabrowski, L ;
Landi, G .
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2002, 16 (03) :277-284
[40]   Morse Index Bound for Minimal Two Spheres [J].
Yuchin Sun .
The Journal of Geometric Analysis, 2022, 32
12345