Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological gauge-gravity equivalence: fiber bundle and homology aspects   In the works of A. Ach\'ucarro and P. K. Townsend and also by E. Witten, a
duality between three-dimensional Chern-Simons gauge theories and gravity was
established. First (Ach\'ucarro and Townsend), by considering an
In\"on\"u-Wigner contraction from a superconformal gauge theory to an Anti-de
Sitter supergravity. Then, Witten was able to obtain, from Chern-Simons theory
(in two cases: Poincar\'e and de Sitter gauge theories), an Einstein-Hilbert
gravity by mapping the gauge symmetry in local isometries and diffeomorphisms.
In all cases, the results made use of the field equations. Latter, we were
capable to generalize Witten's work (in Euclidean spacetime) to the off-shell
cases, as well as to four dimensional Yang-Mills theory with de Sitter gauge
symmetry. The price we paid is that curvature and torsion must obey some
constraints under the action of the interior derivative. These constraints
implied on the partial breaking of diffeomorphism invariance. In the present
work, we, first, formalize our early results in terms of fiber bundle theory by
establishing the formal aspects of the map between a principal bundle (gauge
theory) and a coframe bundle (gravity) with partial breaking of diffeomorphism
invariance. Then, we study the effect of the constraints on the homology
defined by the interior derivative. The result being the emergence of a
nontrivial homology in Riemann-Cartan manifolds.

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The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: nucl-th