Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On partition functions and phases of scalars in AdS   We study the phases of scalar field theories in thermal $AdS_{d+1}$ spaces
for $d=1,2,3$. The analysis is done for theories with global $O(N)$ symmetry
for the finite as well as large $N$. The symmetry-preserving and
symmetry-breaking phases are identified as a function of the mass-squared of
the scalar field and temperature. On the way we also describe a method for
computing one-loop partition function for scalar field on thermal $AdS_{d+1}$
for arbitrary $d$ that reproduces results known in the literature. The
derivation is based on the method of images and uses the eigenfunctions of the
Laplacian on Euclidean $AdS$.

11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con