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D = 5, N = 2 Geometric Higher Curvature Supergravity in the Second-Order Canonical Theory
Authors:O.?S.?Zandron  mailto:zandron@ifir.edu.ar"   title="  zandron@ifir.edu.ar"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina;(2) Facultad de Ciencias Exactas Ingeniería y Agrimensura de la UNR, Av. Pellegrini, 250-2000 Rosario, Argentina
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.
Keywords:geometric supergravity model  higher curvature supergravity  canonical theory
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