Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Three-Dimensional Conformal Field Theory   This talk is based on a recent paper$^{1}$ of ours. In an attempt to
understand three-dimensional conformal field theories, we study in detail one
such example --the large $N$ limit of the $O(N)$ non-linear sigma model at its
non-trivial fixed point -- in the zeta function regularization. We study this
on various three-dimensional manifolds of constant curvature of the kind
$\Sigma \times R$ ($\Sigma=S^1 \times S^1, S^2, H^2$). This describes a quantum
phase transition at zero temperature. We illustrate that the factor that
determines whether $m=0$ or not at the critical point in the different cases is
not the `size' of $\Sigma$ or its Riemannian curvature, but the conformal class
of the metric.

23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics