Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extended Supersymmetry and BPS solutions in baby Skyrme models   We continue the investigation of supersymmetric extensions of baby Skyrme
models in d=2+1 dimensions. In a first step, we show that the CP(1) form of the
baby Skyrme model allows for the same N=1 SUSY extension as its O(3)
formulation. Then we construct the N=1 SUSY extension of the gauged baby Skyrme
model, i.e., the baby Skyrme model coupled to Maxwell electrodynamics. In a
next step, we investigate the issue of N=2 SUSY extensions of baby Skyrme
models. We find that all gauged and ungauged submodels of the baby Skyrme model
which support BPS soliton solutions allow for an N=2 extension such that the
BPS solutions are one-half BPS states (i.e., annihilated by one-half of the
SUSY charges). In the course of our investigation, we also derive the general
BPS equations for completely general N=2 supersymmetric field theories of (both
gauged and ungauged) chiral superfields, and apply them to the gauged nonlinear
sigma model as a further, concrete example.

36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom