Uhlenbeck compactness for Yang-Mills flow in higher dimensions

被引：0

作者：

Waldron, Alex ^{[1
]}

机构：

[1] Univ Wisconsin, Madison, WI 53706 USA

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2023年 / 62卷 / 05期

关键词：

SINGULARITY FORMATION; CONNECTIONS; BEHAVIOR; GEOMETRY; SPACE;

D O I：

10.1007/s00526-023-02505-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper proves a general Uhlenbeck compactness theorem for sequences of solutions of Yang-Mills flow on Riemannian manifolds of dimension n = 4, including rectifiability of the singular set at finite or infinite time.

引用

页数：28

共 50 条

[21] Sigma-model limit of Yang-Mills instantons in higher dimensions
Deser, Andreas
Lechtenfeld, Olaf
Popov, Alexander D.
NUCLEAR PHYSICS B, 2015, 894 : 361 - 373
[22] Long-time behaviour of the Yang-Mills flow in four dimensions
Schlatter, A
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 1997, 15 (01) : 1 - 25
[23] MONOTONICITY FORMULA AND SMALL ACTION REGULARITY FOR YANG-MILLS FLOWS IN HIGHER DIMENSIONS
CHEN, YM
SHEN, CL
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 1994, 2 (04) : 389 - 403
[24] THE ISOLATED POINT SINGULARITY PROBLEM FOR THE COUPLED YANG-MILLS EQUATIONS IN HIGHER DIMENSIONS
SIBNER, LM
MATHEMATISCHE ANNALEN, 1985, 271 (01) : 125 - 131
[25] Conformal Yang-Mills field in arbitrary dimensions
Metsaev, R. R.
NUCLEAR PHYSICS B, 2024, 998
[26] YANG-MILLS - EINSTEIN SUPERGRAVITY IN 7 DIMENSIONS
BERGSHOEFF, E
KOH, IG
SEZGIN, E
PHYSICAL REVIEW D, 1985, 32 (06): : 1353 - 1357
[27] Cohomological Yang-Mills theory in eight dimensions
Baulieu, L
Kanno, H
Singer, IM
DUALITIES IN GAUGE AND STRING THEORIES, 1998, : 365 - 373
[28] Supersymmetric Yang-Mills theory in eleven dimensions
Nishino, H
PHYSICS LETTERS B, 2000, 492 (1-2) : 201 - 213
[29] The Yang-Mills and chiral fields in six dimensions
Singh, Harvendra
JOURNAL OF HIGH ENERGY PHYSICS, 2013, (02):
[30] The Yang-Mills and chiral fields in six dimensions
Harvendra Singh
Journal of High Energy Physics, 2013

← 1 2 3 4 5 →