Poisson Structure of the Boundary Gravitons in 3D Gravity with Negative Λ\Lambda

Jul 6, 2015
24 pages
Published in:
  • Class.Quant.Grav. 32 (2015) 23, 235019
  • Published: Nov 17, 2015
e-Print:

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Abstract: (IOP)
We use the Hamiltonian formalism to study the asymptotic structure of three-dimensional gravity with a negative cosmological constant. We start by defining very general fall-off conditions for the canonical variables and study the implied Poisson structure of the boundary gravitons. From the allowed differentiable gauge transformations, we can extract all the possible boundary conditions on the lagrange multipliers and the associated boundary Hamiltonians. In the last section, we use this general framework to describe some of the previously known boundary conditions.
  • 3D gravity
  • Poisson structure
  • boundary gravitons
  • boundary conditions
  • cosmological constant: negative
  • transformation: gauge
  • structure
  • boundary condition
  • gravitation
  • graviton