Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solution of the string equations for asymmetric potentials   We consider the large $N$ expansion of the partition function for the
Hermitian one-matrix model. It is well known that the coefficients of this
expansion are generating functions $F^{(g)}$ for a certain kind of graph
embedded in a Riemann surface. Other authors have made a simplifying assumption
that the potential $V$ is an even function. We present a method for computing
$F^{(g)}$ in the case that $V$ is not an even function. Our method is based on
the string equations, and yields "valence independent" formulas which do not
depend explicitly on the potential. We introduce a family of differential
operators, the "string polynomials", which make clear the valence independent
nature of the string equations.

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The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
18
The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph