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Chern-Simons term for BF theory and gravity as a generalized topological field theory in four dimensions
Guo, HY; Ling, Y; Tung, RS; Zhang, YZ; Guo, HY , CCAST, World Lab, POB 8730, Beijing 100080, Peoples R China.
2002
发表期刊PHYSICAL REVIEW D
ISSN0556-2821
卷号66期号:6页码:-
摘要A direct relation between two types of topological field theories, Chern-Simons theory and BF theory, is presented by using "generalized differential calculus," which extends an ordinary p-form to an ordered pair of p and (p+1)-form. We first establish the generalized Chern-Weil homomormism for generalized curvature invariant polynomials in general even dimensional manifolds, and then show that BF gauge theory can be obtained from the action which is the generalized second Chern class with gauge group G. Particularly when G is taken as SL(2,C) in four dimensions, general relativity with a cosmological constant can be derived by constraining the topological BF theory.
部门归属CCAST, World Lab, Beijing 100080, Peoples R China; Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China; Penn State Univ, Dept Phys, Ctr Gravitat Phys & Geometry, University Pk, PA 16802 USA; Univ Calif Davis, Dept Phys, Davis, CA 95616 USA
关键词Holographic Formulation Quantum-gravity Supergravity Geometry
学科领域Physics
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收录类别SCI
WOS记录号WOS:000178460800044
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被引频次:9[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/13440
专题理论物理所SCI论文
通讯作者Guo, HY , CCAST, World Lab, POB 8730, Beijing 100080, Peoples R China.
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GB/T 7714
Guo, HY,Ling, Y,Tung, RS,et al. Chern-Simons term for BF theory and gravity as a generalized topological field theory in four dimensions[J]. PHYSICAL REVIEW D,2002,66(6):-.
APA Guo, HY,Ling, Y,Tung, RS,Zhang, YZ,&Guo, HY , CCAST, World Lab, POB 8730, Beijing 100080, Peoples R China..(2002).Chern-Simons term for BF theory and gravity as a generalized topological field theory in four dimensions.PHYSICAL REVIEW D,66(6),-.
MLA Guo, HY,et al."Chern-Simons term for BF theory and gravity as a generalized topological field theory in four dimensions".PHYSICAL REVIEW D 66.6(2002):-.
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