Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gauge and spacetime connections in the Plebanski formulation of complex
  general relativity   The Plebanski formulation of complex general relativity is given in terms of
variables valued in the complexification of the $so(3)$ Lie algebra. Therefore,
it is genuinely a gauge theory that is also diffeomorphism-invariant. For this
reason, the way that the Levi-Civita connection emerges from this formulation
is not direct because both the internal (gauge) and the spacetime connections
are geometrical structures a priori not related, there is not a natural link
between them. Any possible relationship must be put in by hand or must come
from extra hypotheses. In this paper, we analyze the correct relationship
between these connections and show how they are related.

23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph