Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact quantization conditions for the relativistic Toda lattice   Inspired by recent connections between spectral theory and topological string
theory, we propose exact quantization conditions for the relativistic Toda
lattice of N particles. These conditions involve the Nekrasov-Shatashvili free
energy, which resums the perturbative WKB expansion, but they require in
addition a non-perturbative contribution, which is related to the perturbative
result by an S-duality transformation of the Planck constant. We test the
quantization conditions against explicit calculations of the spectrum for N=3.
Our proposal can be generalized to arbitrary toric Calabi-Yau manifolds and
might solve the corresponding quantum integrable system of Goncharov and
Kenyon.

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The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph