Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Soft Gravity by Squaring Soft QED on the Celestial Sphere   We recast the soft $S$-matrices on the celestial sphere as correlation
functions of certain $2$-dimensional models of topological defects. In pointing
out the double copy structure between the soft photon and soft graviton cases,
we arrive at a putative classical double copy between the corresponding
topological models and a rederivation of gauge invariance and the equivalence
principle as Ward identities of the $2$-dimensional theories.

5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
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
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga