Internal circle uplifts, transversality and stratified G-structures

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Title
Internal circle uplifts, transversality and stratified G-structures
Author(s)
Elena, Mirela Babalic; Calin Iuliu Lazaroiu
Publication Date
2015-11
Journal
JOURNAL OF HIGH ENERGY PHYSICS, v.2015, no.11, pp.174 - 200
Publisher
SPRINGER
Abstract
We study stratied G-structures in N = 2 compactications of M-theory on eightmanifolds M using the uplift to the auxiliary nine-manifold ^M = M S1. We show that the cosmooth generalized distribution ^D on ^M which arises in this formalism may have pointwise transverse or non-transverse intersection with the pull-back of the tangent bundle of M, a fact which is responsible for the subtle relation between the spinor stabilizers arising on M and ^M and for the complicated stratied G-structure on M which we uncovered in previous work. We give a direct explanation of the latter in terms of the former and relate explicitly the dening forms of the SU(2) structure which exists on the generic locus U of M to the dening forms of the SU(3) structure which exists on an open subset ^ U of ^M , thus providing a dictionary between the eight- and nine-dimensional formalisms.
URI
https://pr.ibs.re.kr/handle/8788114/2234
ISSN
1029-8479
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > Journal Papers (저널논문)
Files in This Item:
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