Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: BPS/CFT correspondence IV: sigma models and defects in gauge theory   Quantum field theory $L_1$ on spacetime $X_{1}$ can be coupled to another
quantum field theory $L_2$ on a spacetime $X_{2}$ via the third quantum field
theory $L_{12}$ living on $X_{12} = X_{1} \cap X_{2}$. We explore several such
constructions with two and four dimensional $X_{1}, X_{2}$'s and zero and two
dimensional $X_{12}$'s, in the context of $\mathcal{N}=2$ supersymmetry,
non-perturbative Dyson-Schwinger equations, and BPS/CFT correspondence. The
companion paper will show that the BPZ and KZ equations of two dimensional
conformal field theory are obeyed by the half-BPS surface defects in quiver
$\mathcal{N}=2$ gauge theories.

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
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn