Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multi-boundary entanglement in Chern-Simons theory with finite gauge
  groups   We study the multi-boundary entanglement structure of the states prepared in
(1+1) and (2+1) dimensional Chern-Simons theory with finite discrete gauge
group $G$. The states in (1+1)-$d$ are associated with Riemann surfaces of
genus $g$ with multiple $S^1$ boundaries and we use replica trick to compute
the entanglement entropy for such states. In (2+1)-$d$, we focus on the states
associated with torus link complements which live in the tensor product of
Hilbert spaces associated with multiple $T^2$. We present a quantitative
analysis of the entanglement structure for both abelian and non-abelian groups.
For all the states considered in this work, we find that the entanglement
entropy for direct product of groups is the sum of entropy for individual
groups, i.e. $\text{EE}(G_1 \times G_2) = \text{EE}(G_1)+\text{EE}(G_2)$.
Moreover, the reduced density matrix obtained by tracing out a subset of the
total Hilbert space has a positive semidefinite partial transpose on any
bi-partition of the remaining Hilbert space.

14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
3
The categories of this paper are: physics