Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Three-Point Functions in ABJM and Bethe Ansatz   We develop an integrability-based framework to compute structure constants of
two sub-determinant operators and a single-trace non-BPS operator in ABJM
theory in the planar limit. In this first paper, we study them at weak coupling
using a relation to an integrable spin chain. We first develop a nested Bethe
ansatz for an alternating SU(4) spin chain that describes single-trace
operators made out of scalar fields. We then apply it to the computation of the
structure constants and show that they are given by overlaps between a Bethe
eigenstate and a matrix product state. We conjecture that the determinant
operator corresponds to an integrable matrix product state and present a
closed-form expression for the overlap, which resembles the so-called Gaudin
determinant. We also provide evidence for the integrability of general
sub-determinant operators. The techniques developed in this paper can be
applied to other quantities in ABJM theory including three-point functions of
single-trace operators.

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The categories of this paper are: hep-ph
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
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The categories of this paper are: nlin