Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: BPS states in the Minahan-Nemeschansky E6 theory   We use the method of spectral networks to compute BPS state degeneracies in
the Minahan-Nemeschansky $E_6$ theory, on its Coulomb branch, without turning
on a mass deformation. The BPS multiplicities come out in representations of
the $E_6$ flavor symmetry. For example, along the simplest ray in
electromagnetic charge space, we give the first $14$ numerical degeneracies,
and the first $7$ degeneracies as representations of $E_6$. We find a
complicated spectrum, exhibiting exponential growth of multiplicities as a
function of the electromagnetic charge. There is one unexpected outcome: the
spectrum is consistent (in a nontrivial way) with the hypothesis of "spin
purity," that if a BPS state in this theory has electromagnetic charge equal to
$n$ times a primitive charge, then it appears in a spin-$\frac{n}{2}$
multiplet.

32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas