On FLRW reductions of \(N=1\) supergravity

IF 4.8 2区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

The European Physical Journal C Pub Date : 2025-10-10 DOI:10.1140/epjc/s10052-025-14874-8

Nephtalí Eliceo Martínez-Pérez, Cupatitzio Ramírez Romero

引用次数: 0

Abstract

An FLRW reduction of \(N=1\) supergravity is troublesome since spatial isotropy prohibits a non-vanishing Rarita–Schwinger field. In view of this, we consider the quadratic form \(\psi _m^{\ \alpha } \psi _{n\alpha }\) arising from a particular superspace generalization of the metric tensor. Imposing the FLRW form on this object reduces \(\psi _m^{\ \alpha }\) to a single 2-component spinor \(\phi ^\alpha \), which becomes the superpartner of both the scale factor a and lapse N, thus inducing the conformal time gauge, \(N=a\). Time-reparametrization invariance is restored if we allow for deviations of FLRW form that are proportional to the gauge fields \(N, \psi _0^{\ \alpha }\). We determine the allowed supergravity transformations that preserve the resulting FLRW supermultiplets.

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关于\(N=1\)超重力的FLRW缩减

对\(N=1\)超重力的FLRW约简是很麻烦的，因为空间各向同性禁止了非消失的rita - schwinger场。鉴于此，我们考虑由度规张量的特定超空间推广引起的二次型\(\psi _m^{\ \alpha } \psi _{n\alpha }\)。将FLRW形式施加到该对象上，将\(\psi _m^{\ \alpha }\)减小为单个双分量旋量\(\phi ^\alpha \)，它成为尺度因子a和损耗N的超级伙伴，从而产生共形时间规\(N=a\)。如果我们允许与规范场成比例的FLRW形式的偏差\(N, \psi _0^{\ \alpha }\)，则恢复时间再参数化不变性。我们确定了允许的超重力变换，以保留产生的FLRW超多重子。

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

The European Physical Journal C 物理-物理：粒子与场物理

CiteScore

8.10

自引率

15.90%

发文量

1008

审稿时长

2-4 weeks

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