Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Gravity, Torsion and the Spectral Action Principle   We consider compact Riemannian spin manifolds without boundary equipped with
orthogonal connections. We investigate the induced Dirac operators and the
associated commutative spectral triples. In case of dimension four and totally
anti-symmetric torsion we compute the Chamseddine-Connes spectral action,
deduce the equations of motions and discuss critical points.

30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas