Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Resumming the string perturbation series   We use the AdS/CFT correspondence to study the resummation of a perturbative
genus expansion appearing in the type II superstring dual of ABJM theory.
Although the series is Borel summable, its Borel resummation does not agree
with the exact non-perturbative answer due to the presence of complex
instantons. The same type of behavior appears in the WKB quantization of the
quartic oscillator in Quantum Mechanics, which we analyze in detail as a toy
model for the string perturbation series. We conclude that, in these examples,
Borel summability is not enough for extracting non-perturbative information,
due to non-perturbative effects associated to complex instantons. We also
analyze the resummation of the genus expansion for topological string theory on
local $\mathbb P^1 \times \mathbb P^1$, which is closely related to ABJM
theory. In this case, the non-perturbative answer involves membrane instantons
computed by the refined topological string, which are crucial to produce a
well-defined result. We give evidence that the Borel resummation of the
perturbative series requires such a non-perturbative sector.

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The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: hep-ph