Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Loop Variable Representation of Classical Higher Dimensional Gravity and
  the Hilbert Space Grassmannian   In this paper, an attempt is made to represent 5+1 dimensional gravity (via
ADM formalism) in terms of the loop constructions introduced by the author in a
companion paper. The "momenta" and "velocity" from the earlier paper, which
were proven to be cobordant loops in 6 D; are used as the new loop variables.
In the process, the Hamiltonian, Diffeomorphism and Gauss constraints are
written in polynomials of these loop variables. Other constraints such as the
"Q" constraint and simplicity constraints arise due to greater degrees of
freedom. We then undergo the Master Constraint treatment to resolve the
constraints. Then, a pre-quantum version of the theory is examined; and the
properties of the Grassmannian of the Hilbert Space are explored.

23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an