Full metadata record
DC Field | Value | Language |
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dc.contributor.author | 양현석 | - |
dc.date.accessioned | 2016-08-28T12:08:46Z | - |
dc.date.available | 2016-08-28T12:08:46Z | - |
dc.date.issued | 2011 | - |
dc.identifier.issn | 1126-6708 | - |
dc.identifier.other | OAK-8343 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/222258 | - |
dc.description.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. | - |
dc.language | English | - |
dc.title | An efficient representation of Euclidean gravity I | - |
dc.type | Article | - |
dc.relation.issue | 12 | - |
dc.relation.volume | 2011 | - |
dc.relation.index | SCOPUS | - |
dc.relation.journaltitle | Journal of High Energy Physics | - |
dc.identifier.doi | 10.1007/JHEP12(2011)025 | - |
dc.identifier.wosid | WOS:000298847200025 | - |
dc.identifier.scopusid | 2-s2.0-84255198056 | - |
dc.author.google | Lee J. | - |
dc.author.google | Oh J.J. | - |
dc.author.google | Yang H.S. | - |
dc.contributor.scopusid | 양현석(55731074000) | - |
dc.date.modifydate | 20230328115147 | - |