Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Complexity of Ising Spin Glasses   We compute the complexity (logarithm of the number of TAP states) associated
with minima and index-one saddle points of the TAP free energy. Higher-index
saddles have smaller complexities. The two leading complexities are equal,
consistent with the Morse theorem on the total number of turning points, and
have the value given in [A. J. Bray and M. A. Moore, J. Phys. C 13, L469
(1980)]. In the thermodynamic limit, TAP states of all free energies become
marginally stable.

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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: eess