Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Center symmetry and Hagedorn spectrum   This paper explores the conjecture that large Nc gauge theories have a
Hagedorn spectrum, if, and only if, they are confining and posses an explicit
or emergent center symmetry. Evidence in support of this conjecture is
presented. Many classes of large Nc gauge theories are considered. In all
cases, we find that theories for which there exists a strong plausibility
argument for a Hagedorn spectrum at large Nc are also believed to be confining
and possess either an explicit center symmetric or have a strong plausibility
argument for the existence of an emergent center symmetry at large Nc .
Conversely, all theories we considered which are believed not to have a
Hagedorn spectrum at large Nc, either were known not to be confining or else
were believed to lack an emergent center symmetry. This is consistent with
expectations based on the conjecture.

25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
10
The categories of this paper are: q-bio