Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spin(7) holonomy manifold and Superconnection   We discuss the higher dimensional generalization of gravitational instantons
by using volume-preserving vector fields. We give special attention to the case
of 8-dimensions and present a new construction of the Ricci flat metric with
holonomy in Spin(7). An example of the metric is explicitly given. Further it
is shown that our formulation has a natural interpretation in the Chern-Simons
theory written by the language of superconnections.

12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con