Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dimensionally Reduced Gravity, Hermitian Symmetric Spaces and the
  Ashtekar Variables   Dimensional reductions of various higher dimensional (super)gravity theories
lead to effectively two-dimensional field theories described by gravity coupled
G/H nonlinear sigma-models. We show that a new set of complexified variables
can be introduced when G/H is a Hermitian symmetric space. This generalizes an
earlier construction that grew out of the Ashtekar formulation of two Killing
vector reduced pure 4d general relativity. Apart from giving some new insights
into dimensional reductions of higher dimensional (super)gravity theories,
these Ashtekar-type variables offer several technical advantages in the context
of the exact quantization of these models. As an application, an infinite set
of conserved charges is constructed. Our results might serve as a starting
point for probing the quantum equivalence of the Ashtekar and the metric
formalism within a non-trivial midi-superspace model of quantum gravity.

32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas