Boundary dynamics in gravitational theories. (arXiv:1811.03688v1 [hep-th])
<a href="http://arxiv.org/find/hep-th/1/au:+Park_I/0/1/0/all/0/1">I. Y. Park</a>
In this work we critically review the boundary conditions and dynamics of 4D
gravitational theories. A general coordinate transformation introduces a new
foliation and changes the hypersurface on which a natural boundary condition is
imposed; in this sense gauge transformations must be viewed as changing the
boundary conditions. This raises the need for an enlarged Hilbert space so as
to include the states satisfying different boundary conditions. Through the
systematical reduction procedure we obtain the 3D Lagrangian that describes the
dynamics of the physical states. We examine the new insights offered by the 3D
Lagrangian on BMS-type symmetry and black hole information. In particular we
confirm that the boundary dynamics is an indispensable part of the system
information.
In this work we critically review the boundary conditions and dynamics of 4D
gravitational theories. A general coordinate transformation introduces a new
foliation and changes the hypersurface on which a natural boundary condition is
imposed; in this sense gauge transformations must be viewed as changing the
boundary conditions. This raises the need for an enlarged Hilbert space so as
to include the states satisfying different boundary conditions. Through the
systematical reduction procedure we obtain the 3D Lagrangian that describes the
dynamics of the physical states. We examine the new insights offered by the 3D
Lagrangian on BMS-type symmetry and black hole information. In particular we
confirm that the boundary dynamics is an indispensable part of the system
information.
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