Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Holonomy of a principal composite bundle connection, non-abelian
  geometric phases and gauge theory of gravity   We show that the holonomy of a connection defined on a principal composite
bundle is related by a non-abelian Stokes theorem to the composition of the
holonomies associated with the connections of the component bundles of the
composite. We apply this formalism to describe the non-abelian geometric phase
(when the geometric phase generator does not commute with the dynamical phase
generator). We find then an assumption to obtain a new kind of separation
between the dynamical and the geometric phases. We also apply this formalism to
the gauge theory of gravity in the presence of a Dirac spinor field in order to
decompose the holonomy of the Lorentz connection into holonomies of the linear
connection and of the Cartan connection.

13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an