Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: String theory, $\mathcal{N}=4$ SYM and Riemann hypothesis   We discuss new relations among string theory, four-dimensional
$\mathcal{N}=4$ supersymmetric Yang-Mills theory (SYM) and the Riemann
hypothesis. It is known that the Riemann hypothesis is equivalent to an
inequality for the sum of divisors function $\sigma (n)$. Based on previous
results in literature, we focus on the fact that $\sigma (n)$ appears in a
problem of counting supersymmetric states in the $\mathcal{N}=4$ SYM with
$SU(3)$ gauge group: the Schur limit of the superconformal index plays a role
of a generating function of $\sigma (n)$. Then assuming the Riemann hypothesis
gives bounds on information on the $1/8$-BPS states in the $\mathcal{N}=4$ SYM.
The AdS/CFT correspondence further connects the Riemann hypothesis to the type
IIB superstring theory on $AdS_5 \times S^5$. In particular, the Riemann
hypothesis implies a miraculous cancellation among Kaluza-Klein modes of the
supergravity multiplet and D3-branes wrapping supersymmetric cycles in the
string theory. We also discuss possibilities to gain new insights on the
Riemann hypothesis from the physics side.

36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga