New examples of G2-instantons on R4×S3

IF 1.6 3区数学 Q1 MATHEMATICS Journal of Geometry and Physics Pub Date : 2024-08-10 DOI:10.1016/j.geomphys.2024.105292

Izar Alonso

引用次数: 0

Abstract

We study the existence of $SU {(2)}^{2}$ -invariant $G_{2}$ -instantons on $R^{4} \times S^{3}$ with the coclosed $G_{2}$ -structures found on [1]. We find an explicit 1-parameter family of $SU {(2)}^{3}$ -invariant $G_{2}$ -instantons on the trivial bundle on $R^{4} \times S^{3}$ and study its “bubbling” behaviour. We prove the existence a 1-parameter family on the identity bundle. We also provide existence results for locally defined $SU {(2)}^{2}$ -invariant $G_{2}$ -instantons.

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R4×S3 上 G2-不等子的新实例

我们研究了 R4×S3 上的 SU(2)2 不变 G2-instantons 与 [1] 上发现的可闭 G2 结构的存在性。我们在 R4×S3 上的琐细束上发现了一个明确的 SU(2)3 不变 G2-instantons 的 1 参数族，并研究了它的 "冒泡 "行为。我们证明了同一束上一个 1 参数族的存在性。我们还提供了局部定义的 SU(2)2 不变 G2-instantons 的存在结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Geometry and Physics 物理-物理：数学物理

CiteScore

2.90

自引率

6.70%

发文量

205

审稿时长

64 days

期刊介绍： The Journal of Geometry and Physics is an International Journal in Mathematical Physics. The Journal stimulates the interaction between geometry and physics by publishing primary research, feature and review articles which are of common interest to practitioners in both fields. The Journal of Geometry and Physics now also accepts Letters, allowing for rapid dissemination of outstanding results in the field of geometry and physics. Letters should not exceed a maximum of five printed journal pages (or contain a maximum of 5000 words) and should contain novel, cutting edge results that are of broad interest to the mathematical physics community. Only Letters which are expected to make a significant addition to the literature in the field will be considered. The Journal covers the following areas of research: Methods of: • Algebraic and Differential Topology • Algebraic Geometry • Real and Complex Differential Geometry • Riemannian Manifolds • Symplectic Geometry • Global Analysis, Analysis on Manifolds • Geometric Theory of Differential Equations • Geometric Control Theory • Lie Groups and Lie Algebras • Supermanifolds and Supergroups • Discrete Geometry • Spinors and Twistors Applications to: • Strings and Superstrings • Noncommutative Topology and Geometry • Quantum Groups • Geometric Methods in Statistics and Probability • Geometry Approaches to Thermodynamics • Classical and Quantum Dynamical Systems • Classical and Quantum Integrable Systems • Classical and Quantum Mechanics • Classical and Quantum Field Theory • General Relativity • Quantum Information • Quantum Gravity

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