Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Categories of quantum liquids I   We develop the mathematical theory of separable and unitary $n$-categories
based on Gaiotto and Johnson-Freyd's theory of condensation completion. We use
it to study the categories of quantum liquid phases, which include topological
orders, SPT/SET orders, symmetry-breaking orders and CFT-type gapless phases.
In particular, we argue that all the topological features of a (potentially
gapless) quantum liquid phase can be captured by its topological skeleton. We
also show that the category of the topological skeletons of higher dimensional
quantum liquid phases can be explicitly computed from a simple coslice
1-category.

30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph