Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of BPS States and Weak Coupling Limits   We study the stability and spectrum of BPS states in ${\cal N}=2$
supergravity. We find evidence, and prove for a large class of cases, that BPS
stability exhibits a certain filtration which is partially independent of the
value of the gauge couplings. Specifically, for any perturbative value of any
gauge coupling $g \ll 1$, a BPS state can only decay to some constituents if
those constituents do not become infinitely heavier than it in the vanishing
coupling limit $g \rightarrow 0$. This stability filtration can be
mathematically formulated in terms of the monodromy weight filtration of the
limiting mixed Hodge structure associated to the vanishing coupling limit. We
study various implications of the result for the Swampland program which aims
to understand such weak-coupling limits, specifically regarding the nature and
presence of an infinite tower of light charged BPS states.

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The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex