Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gravitational $SL(2,\mathbb{R})$ Algebra on the Light Cone   In a region with a boundary, the gravitational phase space consists of
radiative modes in the interior and edge modes at the boundary. Such edge modes
are necessary to explain how the region couples to its environment. In this
paper, we characterise the edge modes and radiative modes on a null surface for
the tetradic Palatini--Holst action. Our starting point is the definition of
the action and its boundary terms. We choose the least restrictive boundary
conditions possible. The fixed boundary data consists of the radiative modes
alone (two degrees of freedom per point). All other boundary fields are
dynamical. We introduce the covariant phase space and explain how the Holst
term alters the boundary symmetries. To infer the Poisson brackets among Dirac
observables, we define an auxiliary phase space, where the $SL(2\mathbb{R})$
symmetries of the boundary fields is manifest. We identify the gauge generators
and second-class constraints that remove the auxiliary variables. All gauge
generators are at most quadratic in the fundamental $SL(2,\mathbb{R})$
variables on phase space. We compute the Dirac bracket and identify the Dirac
observables on the light cone. Finally, we discuss various truncations to
quantise the system in an effective way.

33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th