The heterotic G2 system with reducible characteristic holonomy

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Geometry and Physics Pub Date : 2025-09-01 DOI:10.1016/j.geomphys.2025.105635

Mateo Galdeano , Leander Stecker

引用次数: 0

Abstract

We construct solutions to the heterotic G₂ system on almost contact metric manifolds with reduced characteristic holonomy. We focus on 3-

(α, δ)

-Sasaki manifolds and

(α, δ)

-Sasaki manifolds, the latter being a convenient reformulation of spin η-Einstein α-Sasaki manifolds. Investigating a 1-parameter family of G₂-connections on the tangent bundle, we obtain several approximate solutions as well as one new class of exact solutions on degenerate 3-

(α, δ)

-Sasaki manifolds.

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具有可约特征完整的异质G2体系

构造了具有约化特征完整的几乎接触度量流形上的异质G2系统的解。我们重点研究了3-(α,δ)- sasaki流形和(α,δ)- sasaki流形，后者是自旋η-爱因斯坦α- sasaki流形的一种方便的重新表述。研究了切线束上的1参数g2 -连接族，得到了退化3-(α,δ)- sasaki流形上的几个近似解和一类新的精确解。

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