Second order Hamiltonian formalism and constraints algebra for non-polynomial supergravities

Authors

  • A. Foussats,

    1. Facultad de Ciencias Exactas Ingenieria y Agrimensura de la U.N.R. Av. Pelegrini 250 - 2000 Rosario, Argentina
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    • Fellows of the Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina.

  • C. Repetto,

    1. Facultad de Ciencias Exactas Ingenieria y Agrimensura de la U.N.R. Av. Pelegrini 250 - 2000 Rosario, Argentina
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    • Fellows of the Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina.

  • O. P. Zandron,

    1. Facultad de Ciencias Exactas Ingenieria y Agrimensura de la U.N.R. Av. Pelegrini 250 - 2000 Rosario, Argentina
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    • Fellows of the Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina.

  • O. S. Zandron

    1. Facultad de Ciencias Exactas Ingenieria y Agrimensura de la U.N.R. Av. Pelegrini 250 - 2000 Rosario, Argentina
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    • Fellows of the Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina.


Abstract

The second order Hamiltonian formalism for a non-polynomial N = 1D = 10 supergravity coupled to super Yang-Mills theory is developed. This is done by starting from the first order canoncial covariant formalism on group manifold. The Hamiltonian, generator of time evolution, is found as a functional of the first class constraints of this coupled system. These contraints close the constraint algebra and they are the generators of all the Hamiltonian gauge symmetries.

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