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Calin Iuliu Lazaroiu
기하학 수리물리 연구단
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Geometric algebra techniques in flux compactifications (II)

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Title
Geometric algebra techniques in flux compactifications (II)
Author(s)
Calin-Iuliu Lazaroiu; Elena-Mirela Babalic
Publication Date
2013-06
Journal
Journal of High Energy Physics, v.(6), no., pp.054-1 - 054-47
Publisher
Springer
Abstract
We study constrained generalized Killing spinors over the metric cone and cylinder of a (pseudo-)Riemannian manifold, developing a toolkit which can be used to investigate certain problems arising in supersymmetric flux compactifications of supergravity theories. Using geometric algebra techniques, we give conceptually clear and computationally effective methods for translating supersymmetry conditions for the metric and fluxes of the unit section of such cylinders and cones into differential and algebraic constraints on collections of differential forms defined on the cylinder or cone. In particular, we give a synthetic description of Fierz identities, which are an important ingredient of such problems. As a non-trivial application, we consider the most general N = 2 compactification of eleven-dimensional supergravity on eight-manifolds.
URI
http://pr.ibs.re.kr/handle/8788114/1588
DOI
10.1007/JHEP06(2013)054
ISSN
1029-8479
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > Journal Papers (저널논문)
Files in This Item:
2013-06-J of High Energy Physics_Geometric_algebra_techniques_in_flux_compactifications_(II)_JHEP_201306.pdfDownload

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