TY - JOUR

T1 - Canonical sectors of five-dimensional Chern-Simons theories

AU - Mišković, Olivera

AU - Troncoso, Ricardo

AU - Zanelli, Jorge

N1 - Funding Information:
We gratefully acknowledge insightful discussions with M. Henneaux. This work was partially funded by FONDECYT grants 1020629, 1040921, 1051056, and 3040026. The generous support to CECS by Empresas CMPC is also acknowledged. CECS is a Millennium Science Institute and is funded in part by grants from Fundación Andes and the Tinker Foundation.

PY - 2005/6/2

Y1 - 2005/6/2

N2 - The dynamics of five-dimensional Chern-Simons theories is analyzed. These theories are characterized by intricate self couplings which give rise to dynamical features not present in standard theories. As a consequence, Dirac's canonical formalism cannot be directly applied due to the presence of degeneracies of the symplectic form and irregularities of the constraints on some surfaces of phase space, obscuring the dynamical content of these theories. Here we identify conditions that define sectors where the canonical formalism can be applied for a class of non-Abelian Chern-Simons theories, including supergravity. A family of solutions satisfying the canonical requirements is explicitly found. The splitting between first and second class constraints is performed around these backgrounds, allowing the construction of the charge algebra, including its central extension.

AB - The dynamics of five-dimensional Chern-Simons theories is analyzed. These theories are characterized by intricate self couplings which give rise to dynamical features not present in standard theories. As a consequence, Dirac's canonical formalism cannot be directly applied due to the presence of degeneracies of the symplectic form and irregularities of the constraints on some surfaces of phase space, obscuring the dynamical content of these theories. Here we identify conditions that define sectors where the canonical formalism can be applied for a class of non-Abelian Chern-Simons theories, including supergravity. A family of solutions satisfying the canonical requirements is explicitly found. The splitting between first and second class constraints is performed around these backgrounds, allowing the construction of the charge algebra, including its central extension.

UR - http://www.scopus.com/inward/record.url?scp=19344371905&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2005.04.043

DO - 10.1016/j.physletb.2005.04.043

M3 - Article

AN - SCOPUS:19344371905

VL - 615

SP - 277

EP - 284

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 3-4

ER -