Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spin Thresholds, RG Flows, and Minimality in 4D $\mathcal{N}=2$ QFT   Long ago, Argyres and Douglas discovered a particularly simple interacting 4D
$\mathcal{N}=2$ superconformal field theory (SCFT) on the Coulomb branch of
$SU(3)$ $\mathcal{N}=2$ super Yang-Mills. Further hints of the theory's
simplicity arise due to the fact that it has the smallest possible value of the
$c$ central charge among unitary interacting $\mathcal{N}=2$ SCFTs. A main
purpose of this note is to uncover additional aspects of this minimal
Argyres-Douglas (MAD) theory's simplicity. In particular, we argue that: (1)
the MAD theory shares an infinite set of large spin thresholds in part of its
operator spectrum with the free $\mathcal{N}=2$ Maxwell theory (this data is
therefore invariant under generic $\mathcal{N}=2$-preserving renormalization
group flows to the IR) and (2) the MAD theory has, at every order in the
natural grading, the smallest number of "Schur" operators of any unitary
$\mathcal{N}=2$ theory (interacting or free). We then show that property (1)
has a suitable generalization for all $(A_1, A_{2k})$ cousins of the MAD
theory. In particular, the corresponding large spin thresholds encode generic
renormalization group flows within this class. This construction therefore
gives a different handle on these flows from the one provided by the
Seiberg-Witten description. To emphasize the importance of these spin
thresholds, we abstractly study theories with "enough matter" to form Higgs
branches and argue that infinitely many spin thresholds are small or vanishing.

13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ