Abstract
The supersymmetric extension of the five-dimensional Chern–Simons gravity is studied from the Hamiltonian point of view. This model containing the Gauss–Bonnet term quadratic in the Riemann curvature is the gauge theory of the supergroup SU(2,2/1). In the first order, the theory has a polynomial structure, but the second-order leads to a nonpolynomial structure for both the Hamiltonian and the supersymmetry transformation rules of the fields. The second-order theory has the advantage that the apparent gauge degrees of freedom are unambiguously removed leaving only the physical ones. This important feature is analyzed by constructing the second-order Hamiltonian theory. The gauge invariances of the model and the generator of time evolution are found.
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Zandron, O.S. D = 5, N = 2 Geometric Higher Curvature Supergravity in the Second-Order Canonical Theory. Int J Theor Phys 44, 549–566 (2005). https://doi.org/10.1007/s10773-005-3982-9
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DOI: https://doi.org/10.1007/s10773-005-3982-9