期刊
PHYSICAL REVIEW D
卷 89, 期 8, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.89.084077
关键词
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资金
- Direccion de Investigacion, Universidad de Concepcion [212.011.056-1.0]
- FONDECYT [1130653]
- U.K. Science and Technology Facilities Council [ST/J000310/1]
- Comision Nacional de Investigacion Cientifica y Tecnologica CONICYT
- Universidad de Concepcion, Chile
- STFC [ST/L000458/1, ST/G000522/1, ST/J000329/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/J000329/1, ST/L000458/1, ST/G000522/1] Funding Source: researchfish
We show that Poincare-invariant topological gravity in even dimensions can be formulated as a transgression field theory in one higher dimension whose gauge connections are associated to linear and nonlinear realizations of the Poincare group ISO(d - 1, 1). The resulting theory is a gauged Wess-Zumino-Witten (WZW) model whereby the transition functions relating gauge fields live in the coset ISO(d-1,1)/SO(d-1,1).The coordinate parametrizing the coset space is identified with the scalar field in the adjoint representation of the gauge group of the even-dimensional topological gravity theory. The supersymmetric extension leads to topological supergravity in two dimensions starting from a transgression field theory which is invariant under the supersymmetric extension of the Poincare group in three dimensions. We also apply this construction to a three-dimensional Chern-Simons theory of gravity which is invariant under the Maxwell algebra and obtain the corresponding WZW model.
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