\(\mathcal{N} = 2\) 超重力与调和超空间：线性化的超曲率

IF 0.6 4区物理与天体物理 Q4 PHYSICS, PARTICLES & FIELDS

Physics of Particles and Nuclei Pub Date : 2025-05-20 DOI:10.1134/S106377962470148X

E. A. Ivanov, N. M. Zaigraev

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引用次数: 0

摘要

利用调和超空间中\(\mathcal{N} = 2\)超引力的表述，构造了一个完整的线性化超曲率集合，它们是标量曲率、Ricci张量的不可约部分和自对偶Weyl张量的\(\mathcal{N} = 2\)超对称。基于这些超曲率，构造了线性化\(\mathcal{N} = 2\)超引力的二次不变量集。超曲率具有美丽的几何结构，并可以推广到更高的自旋，从而为构建一些\(\mathcal{N} = 2\)超对称自旋的三次相互作用开辟了道路。

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\(\mathcal{N} = 2\) Supergravity and Harmonic Superspace: Linearized Supercurvatures

Using the formulation of \(\mathcal{N} = 2\) supergravity in harmonic superspace, we construct a complete set of linearized supercurvatures that are \(\mathcal{N} = 2\) supersymmetrizations of the scalar curvature, the irreducible part of the Ricci tensor and the self-dual Weyl tensor. Based on these supercurvatures, the total set of quadratic invariants of the linearized \(\mathcal{N} = 2\) supergravity is constructed. Supercurvaturies have a beautiful geometric structure and admit a generalization to higher spins, thereby opening the way towards the construction of a number of \(\mathcal{N} = 2\) supersymmetric cubic interactions of such spins.

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来源期刊

Physics of Particles and Nuclei 物理-物理：粒子与场物理

CiteScore

1.00

自引率

0.00%

发文量

116

审稿时长

6-12 weeks

期刊介绍： The journal Fizika Elementarnykh Chastits i Atomnogo Yadr of the Joint Institute for Nuclear Research (JINR, Dubna) was founded by Academician N.N. Bogolyubov in August 1969. The Editors-in-chief of the journal were Academician N.N. Bogolyubov (1970–1992) and Academician A.M. Baldin (1992–2001). Its English translation, Physics of Particles and Nuclei, appears simultaneously with the original Russian-language edition. Published by leading physicists from the JINR member states, as well as by scientists from other countries, review articles in this journal examine problems of elementary particle physics, nuclear physics, condensed matter physics, experimental data processing, accelerators and related instrumentation ecology and radiology.