Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mass Ladder Operators from Spacetime Conformal Symmetry   Ladder operators can be useful constructs, allowing for unique insight and
intuition. In fact, they have played a special role in the development of
quantum mechanics and field theory. Here, we introduce a novel type of ladder
operators, which map a scalar field onto another massive scalar field. We
construct such operators, in arbitrary dimensions, from closed conformal
Killing vector fields, eigenvectors of the Ricci tensor. As an example, we
explicitly construct these objects in anti-de Sitter spacetime (AdS) and show
that they exist for masses above the Breitenlohner-Freedman (BF) bound.
Starting from a regular seed solution of the massive Klein-Gordon equation
(KGE), mass ladder operators in AdS allow one to build a variety of regular
solutions with varying boundary condition at spatial infinity. We also discuss
mass ladder operator in the context of spherical harmonics, and the relation
between supersymmetric quantum mechanics and so-called Aretakis constants in an
extremal black hole.

11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th