Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Covariance of the extended holonomy   It has been pointed out that the holonomy of generic extended loops is not
gauge covariant. We show how to define a family of extended loops for which
previous criticism does not apply. We also give sufficient conditions that
extended loops must satisfy in order to yield covariant holonomies. This makes
a quantum representation for Yang--Mills theories and gravity based on extended
loops viable.

19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat