Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Charge Algebra in Al(A)dS$_n$ Spacetimes   The gravitational charge algebra of generic asymptotically locally (A)dS
spacetimes is derived in $n$ dimensions. The analysis is performed in the
Starobinsky/Fefferman-Graham gauge, without assuming any further boundary
condition than the minimal falloffs for conformal compactification. In
particular, the boundary structure is allowed to fluctuate and plays the role
of source yielding some symplectic flux at the boundary. Using the holographic
renormalization procedure, the divergences are removed from the symplectic
structure, which leads to finite expressions. The charges associated with
boundary diffeomorphisms are generically non-vanishing, non-integrable and not
conserved, while those associated with boundary Weyl rescalings are
non-vanishing only in odd dimensions due to the presence of Weyl anomalies in
the dual theory. The charge algebra exhibits a field-dependent $2$-cocycle in
odd dimensions. When the general framework is restricted to three-dimensional
asymptotically AdS spacetimes with Dirichlet boundary conditions, the
$2$-cocycle reduces to the Brown-Henneaux central extension. The analysis is
also specified to leaky boundary conditions in asymptotically locally (A)dS
spacetimes that lead to the $\Lambda$-BMS asymptotic symmetry group. In the
flat limit, the latter contracts into the BMS group in $n$ dimensions.

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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys