Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: TOPOLOGICAL PHASES AND THEIR DUALITY IN ELECTROMAGNETIC AND
  GRAVITATIONAL FIELDS   The duality found by Aharonov and Casher for topological phases in the
electromagnetic field is generalized to an arbitrary linear interaction. This
provides a heuristic principle for obtaining a new solution of the field
equations from a known solution. This is applied to the general relativistic
Sagnac phase shift due to the gravitational field in the interference of mass
or energy around a line source that has angular momentum and the dual phase
shift in the interference of a spin around a line mass. These topological
phases are treated both in the linearized limit of general relativity and the
exact solutions for which the gravitational sources are cosmic strings
containing torsion and curvature, which do not have a Newtonian limit.

36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph