Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vortices and extreme black holes: the question of flux expulsion   It has been claimed that extreme black holes exhibit a phenomenon of flux
expulsion for abelian Higgs vortices, irrespective of the relative width of the
vortex to the black hole. Recent work by two of the authors showed a subtlety
in the treatment of the event horizon, which cast doubt on this claim. We
analyse in detail the vortex/extreme black hole system, showing that while flux
expulsion can occur, it does not do so in all cases. We give analytic proofs
for both expulsion and penetration of flux, in each case deriving a bound for
that behaviour. We also present extensive numerical work backing up, and
refining, these claims, and showing in detail how a vortex can end on a black
hole in all situations. We also calculate the backreaction of the vortex on the
geometry, and comment on the more general vortex-black hole system.

16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci