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Canonical structure of 3D gravity with torsion

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arxiv gr-qc/0412134 v1 pith:AU62YLKH submitted 2004-12-30 gr-qc hep-th

Canonical structure of 3D gravity with torsion

classification gr-qc hep-th
keywords canonicalcentralchargesgravitystructuretorsionalgebraalgebras
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the canonical structure of the topological 3D gravity with torsion, assuming the anti-de Sitter asymptotic conditions. It is shown that the Poisson bracket algebra of the canonical generators has the form of two independent Virasoro algebras with classical central charges. In contrast to the case of general relativity with a cosmological constant, the values of the central charges are different from each other.

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