Homotopy invariants and time evolution in (2+1)-dimensional gravity
Por:
Waelbroeck H., Zertuche F.
Publicada:
1 ene 1994
Resumen:
We establish the relation between the ISO(2,1) homotopy invariants and the polygon representation of (2+1)-dimensional gravity. The polygon closure conditions, together with the SO(2,1) cycle conditions, are equivalent to the ISO(2,1) cycle conditions for the representations ?:?1(g,N)?ISO(2,1) . Also, the symplectic structure on the space of invariants is closely related to that of the polygon representation. We choose one of the polygon variables as internal time and compute the Hamiltonian, then perform the Hamilton-Jacobi transformation explicitly. We make contact with other authors' results for g=1 and g=2 (N=0). © 1994 The American Physical Society.
Filiaciones:
Waelbroeck H.:
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de Mexico, Apartado Postal 70-543, México, DF 04510, Mexico
Zertuche F.:
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de Mexico, Apartado Postal 70-543, México, DF 04510, Mexico
Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de Mexico, Sección Cuernavaca, Apartado Postal, 139-B, 62191 Cuernavaca, Morelos, Mexico
All Open Access; Green
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