Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized entanglement entropies in two-dimensional conformal field
  theory   We introduce and study generalized R\'enyi entropies defined through the
traces of products of ${\rm Tr}_B (|\Psi_i\rangle\langle \Psi_j|)$ where
$|\Psi_i\rangle$ are eigenstates of a two-dimensional conformal field theory
(CFT). When $|\Psi_i\rangle=|\Psi_j\rangle$ these objects reduce to the
standard R\'enyi entropies of the eigenstates of the CFT. Exploiting the path
integral formalism, we show that the second generalized R\'enyi entropies are
equivalent to four-point correlators. We then focus on a free bosonic theory
for which the mode expansion of the fields allows us to develop an efficient
strategy to compute the second generalized R\'enyi entropy for all eigenstates.
As a byproduct, our approach also leads to new results for the standard R\'enyi
and relative entropies involving arbitrary descendent states of the bosonic
CFT.

23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom