View : 139 Download: 0

An efficient representation of Euclidean gravity I

Title
An efficient representation of Euclidean gravity I
Authors
Lee J.Oh J.J.Yang H.S.
Ewha Authors
양현석
Issue Date
2011
Journal Title
Journal of High Energy Physics
ISSN
1126-6708JCR Link
Citation
vol. 2011, no. 12
Indexed
SCOPUS WOS scopus
Abstract
We explore how the topology of spacetime fabric is encoded into the local structure of Riemannian metrics using the gauge theory formulation of Euclidean gravity. In part I, we provide a rigorous mathematical foundation to prove that a general Einstein manifold arises as the sum of SU(2)L Yang-Mills instantons and SU(2)R anti-instantons where SU(2)L and SU(2)R are normal subgroups of the four-dimensional Lorentz group Spin(4) = SU(2)L ×SU(2)R. Our proof relies only on the general properties in four dimensions: The Lorentz group Spin(4) is isomorphic to SU(2)L×SU(2)R and the six-dimensional vector space &C2T*M of two-forms splits canonically into the sum of three-dimensional vector spaces of self-dual and anti-self-dual two-forms, i.e., &C2T*M = &C+2⊕-2. Consolidating these two, it turns out that the splitting of Spin(4) is deeply correlated with the decomposition of two-forms on four-manifold which occupies a central position in the theory of four-manifolds. © SISSA 2011.
DOI
10.1007/JHEP12(2011)025
Appears in Collections:
연구기관 > 초기우주과학기술연구소 > Journal papers
Files in This Item:
There are no files associated with this item.
Export
RIS (EndNote)
XLS (Excel)
XML


qrcode

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

BROWSE