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기하학수리물리연구단
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A Generalization of Calabi-Yau Fourfolds Arising from M-Theory Compactifications

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Title
A Generalization of Calabi-Yau Fourfolds Arising from M-Theory Compactifications
Author(s)
E.M. Babalic; Calin Iuliu Lazaroiu
Publication Date
2014-08
Journal
Bulgarian Journal of Physics, v.41, no.2, pp.109 - 122
Publisher
European Physical Society (Heron Press Ltd.)
Abstract
Using a reconstruction theorem, we prove that the supersymmetry conditions for a certain class of flux backgrounds are equivalent with a tractable subsystem of relations on differential forms which encodes the full set of contraints arising fom Fierz identities and from the differential and algebraic conditions on the internal part of the supersymmetry generators. The result makes use of the formulation of such problems through K¨ahler-Atiyah bundles, which we developed in previous work. Applying this to the most general N = 2 flux compactifications of 11-dimensional supergravity on 8-manifolds, we can extract the conditions constraining such backgrounds and give an overview of the resulting geometry, which generalizes that of Calabi-Yau fourfolds.
URI
https://pr.ibs.re.kr/handle/8788114/782
DOI
10.48550/arXiv.1411.3493
ISSN
1310-0157
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
Files in This Item:
15)2014_CIL_A generalization of Calabi-Yau fourfolds arising from M-theory compactifications.pdfDownload

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