Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cauchy Slice Holography: A New AdS/CFT Dictionary   We investigate a new approach to holography in asymptotically AdS spacetimes,
in which time rather than space is the emergent dimension. By making a
sufficiently large T^2-deformation of a Euclidean CFT, we define a holographic
theory that lives on Cauchy slices of the Lorentzian bulk. (More generally, for
an arbitrary Hamiltonian constraint equation that closes, we show how to obtain
it by an irrelevant deformation from a CFT with suitable anomalies.) The
partition function of this theory defines a natural map between the bulk
canonical quantum gravity theory Hilbert space, and the Hilbert space of the
usual (undeformed) boundary CFT. We argue for the equivalence of the ADM and
CFT Hamiltonians. We also explain how bulk unitarity emerges naturally, even
though the boundary theory is not reflection-positive. This allows us to
reformulate the holographic principle in the language of Wheeler-DeWitt
canonical quantum gravity.
  Along the way, we outline a procedure for obtaining a bulk Hilbert space from
the gravitational path integral with Dirichlet boundary conditions. Following
previous conjectures, we postulate that this finite-cutoff gravitational path
integral agrees with the T^2-deformed theory living on an arbitrary boundary
manifold -- at least near the semiclassical regime. However, the T^2-deformed
theory may be easier to UV complete, in which case it would be natural to take
it as the definition of nonperturbative quantum gravity.

31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th