Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chern--Simons states in spin-network quantum gravity   In the context of canonical quantum gravity in terms of Ashtekar's new
variables, it is known that there exists a state that is annihilated by all the
quantum constraints and that is given by the exponential of the Chern--Simons
form constructed with the Asthekar connection. We make a first exploration of
the transform of this state into the spin-network representation of quantum
gravity. The discussion is limited to trivalent nets with planar intersections.
We adapt an invariant of tangles to construct the transform and study the
action of the Hamiltonian constraint on it. We show that the first two
coefficients of the expansion of the invariant in terms of the inverse
cosmological constant are annihilated by the Hamiltonian constraint. We also
discuss issues of framing that arise in the construction.

30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an