Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shape Deformations of Charged R\'enyi Entropies from Holography   Charged and symmetry-resolved R\'enyi entropies are entanglement measures
quantifying the degree of entanglement within different charge sectors of a
theory with a conserved global charge. We use holography to determine the
dependence of charged R\'enyi entropies on small shape deformations away from a
spherical or planar entangling surface in general dimensions. This dependence
is completely characterized by a single coefficient appearing in the two point
function of the displacement operator associated with the R\'enyi defect. We
extract this coefficient using its relation to the one point function of the
stress tensor in the presence of a deformed entangling surface. This is mapped
to a holographic calculation in the background of a deformed charged black hole
with hyperbolic horizon. We obtain numerical solutions for different values of
the chemical potential and replica number $n$ in various spacetime dimensions,
as well as analytic expressions for small chemical potential near $n=1$. When
the R\'enyi defect becomes supersymmetric, we demonstrate a conjectured
relation between the two point function of the displacement operator and the
conformal weight of the twist operator.

32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin