Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Renyi entropy for free conformal fields: holographic and q-analog
  recipes   We describe a holographic approach to explicitly compute the universal
logarithmic contributions to entanglement and Renyi entropies for free
conformal scalar and spinor fields on even-dimensional spheres. This
holographic derivation proceeds in two steps: first, following Casini and
Huerta, a conformal map to thermal entropy in a hyperbolic geometry; then,
identification of the hyperbolic geometry with the conformal boundary of a bulk
hyperbolic space and use of an AdS/CFT holographic formula to compute the
resulting functional determinant. We explicitly verify the connection with the
type-A trace anomaly for the entanglement entropy, whereas the Renyi entropy is
computed with aid of the Sommerfeld formula in order to deal with a conical
defect. As a by-product, we show that the log-coefficient of the Renyi entropy
for round spheres can be efficiently obtained as the q-analog of a procedure
similar to the one found by Cappelli and D'Appollonio that rendered the type-A
trace anomaly.

21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci