New constrained generalized Killing spinor field classes in warped flux compactifications

Fuente: arXiv
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Autores principales: Gonçalves, D. Fabri, da Rocha, R.
Formato: Preprint
Publicado: 2023
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author Gonçalves, D. Fabri
da Rocha, R.
author_facet Gonçalves, D. Fabri
da Rocha, R.
contents The generalized Fierz identities are addressed in the Kähler-Atiyah bundle framework from the perspective of the equations governing constrained generalized Killing spinor fields. We explore the spin geometry in a Riemannian 8-manifold composing a warped flux compactification AdS$_3\times M_8$, whose metric and fluxes preserve one supersymmetry in AdS$_3$. Supersymmetry conditions can be efficiently translated into spinor bilinear covariants, whose algebraic and differential constraints yield identifying new spinor field classes. Intriguing implications and potential applications are discussed.
format Preprint
id arxiv_https___arxiv_org_abs_2310_19530
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle New constrained generalized Killing spinor field classes in warped flux compactifications
Gonçalves, D. Fabri
da Rocha, R.
High Energy Physics - Theory
Mathematical Physics
The generalized Fierz identities are addressed in the Kähler-Atiyah bundle framework from the perspective of the equations governing constrained generalized Killing spinor fields. We explore the spin geometry in a Riemannian 8-manifold composing a warped flux compactification AdS$_3\times M_8$, whose metric and fluxes preserve one supersymmetry in AdS$_3$. Supersymmetry conditions can be efficiently translated into spinor bilinear covariants, whose algebraic and differential constraints yield identifying new spinor field classes. Intriguing implications and potential applications are discussed.
title New constrained generalized Killing spinor field classes in warped flux compactifications
topic High Energy Physics - Theory
Mathematical Physics
url https://arxiv.org/abs/2310.19530